GCD of 119, 847, 57, 264 Calculator

Given Input numbers are 119, 847, 57, 264

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 119, 847, 57, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 847, 57, 264 is 1.

Therefore, GCD of numbers 119, 847, 57, 264 is 1

Given Input Data is 119, 847, 57, 264

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(119, 847) = 14399

GCD(119, 847) = ( 119 x 847 ) / 14399

GCD(119, 847) = 100793 / 14399

GCD(119, 847) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 57

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

LCM(7, 57) = 399

GCD(7, 57) = ( 7 x 57 ) / 399

GCD(7, 57) = 399 / 399

GCD(7, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 119, 847, 57, 264 is 1

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1. What is the GCD of 119, 847, 57, 264?

GCD of 119, 847, 57, 264 is 1

2. Where do I get the detailed procedure to find GCD of 119, 847, 57, 264?

You can find a detailed procedure to find GCD of 119, 847, 57, 264 on our page.

3. How to find GCD of 119, 847, 57, 264 on a calculator?

You can find the GCD of 119, 847, 57, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.