Foundation
Mathematics Foundation
HCF and LCM
Properties of Real Number
Linear Equations in One Variable
Question
Find HCF of 70 and 245 using Fundamental Theorem of Arithmetic.
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Solution
Using Fundamental Theorem of Arithmetic we can write the given integers as a product of their prime factors,
70 = 2 × 5 × 7
245 = 5 × 7 × 7
Hence, common factors of 70 and 245 are 5 and 7.
HCF = 5 × 7
= 35
Hence, option A is correct.