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Hcf Lcm Using Prime Factorisation

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf the HCF of (169), (221), and (299) is found, what is the correct value?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM and (H) is the HCF of (2^8\times3^2\times5) and (2^5\times3^6\times5^4), what will be the powers of (5) in (L) and (H) respectively?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (112), (180), and (225) is found, how many distinct prime factors will it have?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (162), (270), and (378) is found, what will be the power of (3) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (72) and their LCM is (4680). If the numbers are taken as (72r) and (72s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (p=2^5\times3^2\times7) and (q=2^5\times3^2\times7\times17), which statement about (p) and (q) is correct?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsWhat is the smallest number exactly divisible by (81), (96), and (125)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (128), (192), and (320) are to be divided into the maximum number of equal parts, what will be the number of parts?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (264) and (396) is (132), what is the ratio of their LCM to their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of two numbers is (2^4\times3) and their LCM is (2^7\times3^4\times5^2), what will be the total power of (2) in their product?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsFour automatic signals ring at intervals of (18), (27), (45), and (60) seconds respectively. They ring together now. After how many seconds will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA training camp has (276) students and (414) practice booklets. The maximum number of identical groups is to be formed so that each group has the same number of both separately. How many groups can be formed?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (m=2^2\times3^a\times5^3) and (n=2^6\times3^3\times5^b\times7) have LCM (2^6\times3^5\times5^4\times7), which values are correct?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (x=2^a\times3^4\times7) and (y=2^7\times3^b\times5) have HCF (2^5\times3^2), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsWhat is the greatest number that leaves the same remainder when dividing (742), (1018), and (1450)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA number leaves remainders (29), (47), and (83) when divided by (36), (54), and (90) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (48) and their LCM is (2112). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (a=2^6\times3^2\times5\times13) and (b=2^3\times3^5\times5^2), what is (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (54), their LCM is (2970), and one number is (270). What is the other number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe prime factorisations of three numbers are (2^4\times3^2\times7), (2^2\times3^4\times5), and (2^5\times3\times11). What will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationExpert