Question

Find HCF of $70$ and $245$ using Fundamental Theorem of Arithmetic.

• A. $35$
• B. $30$
• C. $15$
• D. $25$

Answer 1

Answer: (A)

$35$

Using Fundamental Theorem of Arithmetic we can write the given integers as a product of their prime factors,

$70=2\times 5\times 7$

$245=5\times 7\times 7$

Hence, common factors of $70$ and $245$ are $5$ and $7.$

$HCF=5\times 7$

$=35$

Hence, option $A$ is correct.