GCD of 252, 706, 18, 157 Calculator

Given Input numbers are 252, 706, 18, 157

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 252, 706, 18, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 706, 18, 157 is 1.

Therefore, GCD of numbers 252, 706, 18, 157 is 1

Given Input Data is 252, 706, 18, 157

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 706 is 2 x 353

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 157 is 157

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(252, 706) = 88956

GCD(252, 706) = ( 252 x 706 ) / 88956

GCD(252, 706) = 177912 / 88956

GCD(252, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

GCD of 252, 706, 18, 157 is 1

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1. What is the GCD of 252, 706, 18, 157?

GCD of 252, 706, 18, 157 is 1

2. Where do I get the detailed procedure to find GCD of 252, 706, 18, 157?

You can find a detailed procedure to find GCD of 252, 706, 18, 157 on our page.

3. How to find GCD of 252, 706, 18, 157 on a calculator?

You can find the GCD of 252, 706, 18, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.