Question

find the hcf of the following numbers by continued division method 1197,1311,627​

Answer 1

Hey mate,let me help you with it.....

See mate,continued division method simply finding HCF by seeing the common factors of all the numbers.So let's learn how to find HCF in such a way.

So here three numbers are given;1197,1311,627

So factors of 1197= 3 x 3 x 7 x 19

Factors of 1311= 3 x 19 x 23

Factors of 627= 3 x 11 x 19

Now we will find common factors among all the three,we get,the common factors are:

3 & 19.

Therefore,Here,the HCF is 19 x 3 = 57.

HOPE YOU ARE REALLY HELPED MATE, PLEASE CONSIDER MARKING THIS ANSWER AS BRAINLIEST....

Answer 2

Given

✭ We are given 1197,1311,627

To Find

◈ Their HCF?

Solution

Concept

So first we shall find the HCF of any two numbers and then take the remaining number and find its HCF with the one we found for the first two numbers

━━━━━━━━━━━

So to find the HCF of the these numbers we shall use Euclid's Division Algorithm

A = B(Q)+R

First we shall find HCF of 1197 & 1311, 1311 > 1197

➝ 1311 = 1197(1) + 114

➝ 1197 = 114(10)+ 57

➝ 114 = 57(2)+0

∴ HCF(1311,1197) = 57

Now we shall find the HCF of 627 & 57, 627 > 57

➳ 627 = 57(11)+0

∴ HCF(1311,1197,627) is 57