Question

7. The HCF of 420 and 565 is​

Answer 1

Answer:

$5$

Step-by-step explanation:

Given : Numbers are $420$ and $565$.

To find : H.C.F. of given numbers.

Solution :

• 'The given numbers are $420$ and $565$.

• We have to find the H.C.F. of the given numbers.
• We know that H.C.F. is the highest common factors of the numbers.
• In order to find the H.C.F., First we have to find the factors of the given numbers.

        $420 = 2*2*3*5*7$   and

        $565 = 5*113$

• ∴ It is seen that the highest common multiple of given numbers is $5$.
• ∴ The H.C.F. of $420$ and $565$ is $5$.

Answer 2

Given,

$420$ and $565$

Here we have to find the HCF of given numbers

HCF(Height common factor): It defines the greatest factor present in between given two or more numbers.

First we have to written factors of given numbers

Factors of $420 = 1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420$

Factors of $565= 1,5,113,565$

From the above

HCF of $420,565 = 1\times5$

$= 5$

Therefore, HCF of $420$ and $565$ is $5$.