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Hcf And 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।

MathematicsIn a gathering, there are (198) students and (330) guests. The maximum number of identical groups is to be formed so that each group has the same number of students and guests separately. How many groups can be formed?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsIf (m=2^3\times3^a\times5^2) and (n=2^5\times3^2\times5^b\times11) have LCM (2^5\times3^6\times5^4\times11), which values are correct?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsIf (x=2^a\times3^5\times5) and (y=2^6\times3^b\times7) have HCF (2^4\times3^3), which values are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsWhat is the greatest number that leaves the same remainder when dividing (489), (654), and (909)?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsWhat is the smallest number that leaves remainder (13) when divided by (42), (56), and (70)?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsThe HCF of two numbers is (18) and their LCM is (1260). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsIf the HCF of two numbers is (24) and their LCM is (1320), which statement about their existence is correct?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsIf (a=2^5\times3^3\times7) and (b=2^2\times3^5\times5\times7^2), what is the value of (\frac{\text{LCM}}{\text{HCF}})?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsThe HCF of two numbers is (36), their LCM is (1620), and one number is (180). What is the other number?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsThe prime factorisations of three numbers are (2^3\times3^2\times11), (2^5\times3\times5), and (2^2\times3^4\times7). What will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsIf the prime factorisations of two numbers are (2^6\times3^4\times5) and (2^4\times3^2\times5^3\times7), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpertMathematicsIf the LCM of (48), (75), and (125) is found, what will be the power of (5) in it?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of (120), (180), and (300) is found, what will be the power of (2) in it?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsThe HCF of two numbers is (21) and their LCM is (1386). If one number is (198), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of two numbers is (15) and their LCM is (420), what is correct about their existence?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf (L) is the LCM of (2^4\times3\times5^2) and (2^2\times3^3\times5), what will be the power of (3) in (L)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf (H) is the HCF of (91), (143), and (187), what is the correct value of (H)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf (H) is the HCF of (91), (143), and (187), what is the value of (H)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsWhich option correctly gives the HCF of (2^5\times3^2\times11) and (2^3\times3^4\times11^2)?Class 10Real NumbersHCF and LCM using prime factorisationHardMathematicsIf the HCF of (154) and (231) is (77), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard

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