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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।

MathematicsIf (a=2^7\times3^2\times5^3) and (b=2^4\times3^5\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 (168), (210), and (280). What is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (33) and their LCM is (2145). If one number is (165), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (2^5\times3^3), (2^7\times3^2\times5), and (2^4\times3^5\times7) is found, what will be the power of (2) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf a number leaves remainder (15) when divided by (40), (56), and (88), what is the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (L) is the LCM of (98), (147), and (245), what is the value of (L)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf (a) and (b) are coprime, (a=2^4\times3), and (ab=2496), what is (b)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (2^4\times3^b\times7) and (2^5\times3^3\times7^2) is (2^5\times3^6\times7^2), what can be the value of (b)?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (2^a\times3^3\times5) and (2^6\times3^5\times5^2) is (2^4\times3^3\times5), which value of (a) is possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsA number is divisible by both (2^5\times3^4\times5) and (2^7\times3^2\times11). What will be the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (132) and (220) is (44), what will be the power of (5) in their LCM?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of two numbers is (75) and their LCM is (1950), what is correct about their existence?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe HCF of two numbers is (21) and their LCM is (2310). How many unordered pairs are possible?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the LCM of (68), (85), and (289) is found, what will be the power of (17) in it?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsThe prime factorisations of three numbers are (2^4\times3^2\times5), (2^2\times3^3\times7), and (2^5\times3\times11). What will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf two numbers are coprime and their product is (1147), what will be their LCM?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf a number is divisible by both (2^6\times3^3\times7) and (2^4\times3^5\times13), what will be the power of (3) in the smallest such number?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (224) and (336) is (112), what is the difference between their LCM and HCF?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of two numbers is (64) and their LCM is (5120), what will be the total power of (2) in their product?Class 10Real NumbersHCF and LCM using prime factorisationExpert MathematicsIf the HCF of (169), (221), and (299) is asked, which is the correct answer?Class 10Real NumbersHCF and LCM using prime factorisationExpert