GCD of 391, 101, 312, 759 Calculator

Given Input numbers are 391, 101, 312, 759

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 391, 101, 312, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 101, 312, 759 is 1.

Therefore, GCD of numbers 391, 101, 312, 759 is 1

Given Input Data is 391, 101, 312, 759

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 101 is 101

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

Prime Factorization of 759 is 3 x 11 x 23

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(391, 101) = 39491

GCD(391, 101) = ( 391 x 101 ) / 39491

GCD(391, 101) = 39491 / 39491

GCD(391, 101) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 391, 101, 312, 759 is 1

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1. What is the GCD of 391, 101, 312, 759?

GCD of 391, 101, 312, 759 is 1

2. Where do I get the detailed procedure to find GCD of 391, 101, 312, 759?

You can find a detailed procedure to find GCD of 391, 101, 312, 759 on our page.

3. How to find GCD of 391, 101, 312, 759 on a calculator?

You can find the GCD of 391, 101, 312, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.