GCD of 127, 653, 26, 312 Calculator

Given Input numbers are 127, 653, 26, 312

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

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 127, 653, 26, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 127, 653, 26, 312 is 1.

Therefore, GCD of numbers 127, 653, 26, 312 is 1

Given Input Data is 127, 653, 26, 312

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

Prime Factorization of 127 is 127

Prime Factorization of 653 is 653

Prime Factorization of 26 is 2 x 13

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(127, 653) = 82931

GCD(127, 653) = ( 127 x 653 ) / 82931

GCD(127, 653) = 82931 / 82931

GCD(127, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 127, 653, 26, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 862, 10, 452
• GCD of 187, 999, 27, 333
• GCD of 972, 108, 56, 583
• GCD of 916, 927, 99, 655
• GCD of 352, 750, 27, 805

1. What is the GCD of 127, 653, 26, 312?

GCD of 127, 653, 26, 312 is 1

2. Where do I get the detailed procedure to find GCD of 127, 653, 26, 312?

You can find a detailed procedure to find GCD of 127, 653, 26, 312 on our page.

3. How to find GCD of 127, 653, 26, 312 on a calculator?

You can find the GCD of 127, 653, 26, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.