GCD of 269, 312, 310, 979 Calculator

Given Input numbers are 269, 312, 310, 979

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 269, 312, 310, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 312, 310, 979 is 1.

Therefore, GCD of numbers 269, 312, 310, 979 is 1

Given Input Data is 269, 312, 310, 979

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

Prime Factorization of 269 is 269

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 979 is 11 x 89

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(269, 312) = 83928

GCD(269, 312) = ( 269 x 312 ) / 83928

GCD(269, 312) = 83928 / 83928

GCD(269, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 269, 312, 310, 979 is 1

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1. What is the GCD of 269, 312, 310, 979?

GCD of 269, 312, 310, 979 is 1

2. Where do I get the detailed procedure to find GCD of 269, 312, 310, 979?

You can find a detailed procedure to find GCD of 269, 312, 310, 979 on our page.

3. How to find GCD of 269, 312, 310, 979 on a calculator?

You can find the GCD of 269, 312, 310, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.