Question

find the hcf of 490 and 704 ​

Answer 1

$\sf \huge \underline {HCF} \large { \: means \: highest \: common \: factor}$

$\sf \underline{How \: to \: find \: HCF : }$

To find HCF or highest common factor of two terms:-

• First make the factors of both the terms.
• Then we have to multiply the terms which are common in both sides.

$\huge \color{red}{ \underline{ \underline {\cal \color{black}{R \sf equired}}}}$

• Find the HCF of 490 and 704

$\huge \color{blue}{ \underline{ \underline{ \cal \color{black}{S \sf olution }}}}$

Factors of 490= 2×5×7×7

Factors of 704=2×2×2×2×2×2×11

Common terms in both= 2

So HCF of 490 and 704 is 2

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✮Extra✮

• Properties of HCF

• HCF of two or more numbers divides each of the numbers without a remainder.
• HCF of two or more numbers is a factor of each of the numbers. HCF of two or more numbers is always less than or equal to each of the numbers.
• HCF of two or more prime numbers is 1 always.