Question

Find the HCF by long division method : (a) 49,102 . Answer in picture I need.​

Answer 1

Step-by-step explanation:

May this will help you..

Answer 2

The HCF by long division method of 49, 102 is 1

Given,

49 and 102

To Find,

Find the HCF by long division method of 49, 102

Solution,

The largest positive number 1 that divides both x(49) and y(102) without leaving any reminder.

The largest positive number m(1) that divides both x(49) and y(102) without leaving any residual is the HCF of two non-zero integers, x(49) and y(102).

The prime factorization of the numbers

49 = 1*7*7*4*9

and 102= 1*2*3*1*7*102,

respectively. As can be seen, 49 and 102 share similar prime factors. Consequently, the HCF of 49 and 102 is 1*1 = 1.

The divisor we obtain after performing long division repeatedly is the HCF of 49 and 102.

102 (the bigger number) divided by 49 (the smaller number)

We shall divide divisor (49) by the remainder 4 because the remainder 0.

Repeat this procedure until the remainder equals 0.

The HCF of 49 and 102 is the equivalent divisor 1

Hence, the HCF by long division method of 49, 102 is 1

#SPJ1