GCD of 118, 158, 627, 296 Calculator

Given Input numbers are 118, 158, 627, 296

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 118, 158, 627, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 158, 627, 296 is 1.

Therefore, GCD of numbers 118, 158, 627, 296 is 1

Given Input Data is 118, 158, 627, 296

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 158 is 2 x 79

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(118, 158) = 9322

GCD(118, 158) = ( 118 x 158 ) / 9322

GCD(118, 158) = 18644 / 9322

GCD(118, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 627

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

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

GCD(2, 627) = 1254 / 1254

GCD(2, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 118, 158, 627, 296 is 1

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1. What is the GCD of 118, 158, 627, 296?

GCD of 118, 158, 627, 296 is 1

2. Where do I get the detailed procedure to find GCD of 118, 158, 627, 296?

You can find a detailed procedure to find GCD of 118, 158, 627, 296 on our page.

3. How to find GCD of 118, 158, 627, 296 on a calculator?

You can find the GCD of 118, 158, 627, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.