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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 HCF of two numbers is (24) and their LCM is (720). If one number is (96), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (72=2^3\times3^2), (120=2^3\times3\times5), and (168=2^3\times3\times7), what is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the prime factorisations of two numbers are (2^5\times3^2\times5) and (2^3\times3^4\times7), what will be their HCF?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhich statement about (84) and (198) is correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf two numbers have no common prime factor in their prime factorisations, which statement about their HCF is correct?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThe HCF of two numbers is (2^2\times3) and their LCM is (2^4\times3^3\times5). If one number is (2^4\times3\times5), what is the other number?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhat is the smallest number that leaves remainder (0) when divided by (45), (60), and (75)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsA shopkeeper has (126) red pens and (210) blue pens. He wants to make the maximum number of identical packets so that each packet has the same number of red pens and the same number of blue pens. How many packets can he make?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (A=2^2\times3\times5^3) and (B=2^5\times3^2\times5), which prime factor will have power (3) in the LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (15) and their LCM is (630), what is the product of the two numbers?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsA number (N) has prime factorisation (2^4\times3^2\times5). What is the HCF of (N) and (2^3\times3^5\times7)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (96=2^5\times3) and (144=2^4\times3^2), what is the LCM of (96) and (144)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsTwo numbers are (180) and (252). What is their HCF in prime factor form?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsWhich of the following numbers is divisible by both (2^3\times3^2\times5) and (2^2\times3^4\times7)?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf two numbers are coprime and their product is (391), what is their LCM?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the LCM of two numbers is (2^5\times3^3\times5) and their HCF is (2^2\times3), what is the power of (2) in the product of the two numbers?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsThree bells ring at intervals of (18), (24), and (30) seconds respectively. If they ring together now, after how many seconds will they ring together again?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsA school has (72) boys and (96) girls. They must be arranged in separate rows with the same number of students in each row, and this number must be maximum. How many students will be in each row?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf the HCF of two numbers is (12) and their LCM is (420), which pair can be such numbers?Class 10Real NumbersHCF and LCM using prime factorisationHard MathematicsIf (x=2^a\times3^4\times5) and (y=2^3\times3^b\times7) have HCF (2^2\times3^2), which statement about (a) and (b) is correct?Class 10Real NumbersHCF and LCM using prime factorisationHard