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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।

MathematicsThe prime factorisations of two numbers are (2^5\times3^3\times5^2) and (2^3\times3^5\times5\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (N) is the smallest number divisible by both (2^5\times3^2\times7) and (2^3\times3^4\times5), and (M) is the HCF of these two numbers, what is (\frac{N}{M})?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA number leaves remainders (43), (67), and (115) when divided by (48), (72), and (120) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (42) and their LCM is (2772). How many unordered pairs of such numbers are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM of (2^4\times3^3\times5) and (2^6\times3\times5^2\times13), how many distinct prime factors will (L) have?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (H) and (L) are respectively the HCF and LCM of (252), (315), and (420), what is (L\div H)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (H) is the HCF and (L) is the LCM of (2^6\times3^2\times5^2) and (2^4\times3^5\times5), what is (\frac{L}{H})?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of two numbers is (63) and their LCM is (2079), and the numbers are taken as (63r) and (63s), what is the value of (rs)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (2^3\times3^4\times5), (2^5\times3^2\times7), and (2^4\times3^3\times11) is found, what will be the power of (3) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (H) is the HCF of (99), (165), and (231), what is the value of (H)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (216=2^3\times3^3) and (360=2^3\times3^2\times5), the product of their LCM and HCF will be equal to what?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsWhich pair has HCF (22) and LCM (1848)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM and (H) is the HCF of (2^5\times3^2\times5) and (2^2\times3^5\times5^2), what will be the powers of (3) in (L) and (H) respectively?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (a=2^6\times3\times5^2) and (b=2^3\times3^4\times5), what will be the power of (5) in their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA number leaves remainder (0) when divided by (144), (180), and (216). What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (27) and their LCM is (1701). If one number is (189), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (2^4\times3^3), (2^6\times3^2\times5), and (2^5\times3^4\times7) is found, what will be the power of (2) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA number leaves remainders (31), (43), and (55) when divided by (36), (48), and (60) respectively. What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (a) and (b) are coprime, (a=2^3\times5), and (ab=1720), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (2^3\times3^b\times5) and (2^4\times3^2\times5^3) is (2^4\times3^5\times5^3), what can be the value of (b)?Class 10Real NumbersHCF and LCM using prime factorisationExpert