GCD of 118, 271, 256, 852 Calculator

Given Input numbers are 118, 271, 256, 852

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 118, 271, 256, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 271, 256, 852 is 1.

Therefore, GCD of numbers 118, 271, 256, 852 is 1

Given Input Data is 118, 271, 256, 852

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 271 is 271

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 271) = 31978

GCD(118, 271) = ( 118 x 271 ) / 31978

GCD(118, 271) = 31978 / 31978

GCD(118, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 118, 271, 256, 852 is 1

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1. What is the GCD of 118, 271, 256, 852?

GCD of 118, 271, 256, 852 is 1

2. Where do I get the detailed procedure to find GCD of 118, 271, 256, 852?

You can find a detailed procedure to find GCD of 118, 271, 256, 852 on our page.

3. How to find GCD of 118, 271, 256, 852 on a calculator?

You can find the GCD of 118, 271, 256, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.