GCD of 31, 919, 746, 684 Calculator

Given Input numbers are 31, 919, 746, 684

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 31, 919, 746, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 919, 746, 684 is 1.

Therefore, GCD of numbers 31, 919, 746, 684 is 1

Given Input Data is 31, 919, 746, 684

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

Prime Factorization of 31 is 31

Prime Factorization of 919 is 919

Prime Factorization of 746 is 2 x 373

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(31, 919) = 28489

GCD(31, 919) = ( 31 x 919 ) / 28489

GCD(31, 919) = 28489 / 28489

GCD(31, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 31, 919, 746, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 906, 574, 642
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• GCD of 79, 712, 529, 217
• GCD of 75, 986, 327, 613
• GCD of 25, 560, 407, 870

1. What is the GCD of 31, 919, 746, 684?

GCD of 31, 919, 746, 684 is 1

2. Where do I get the detailed procedure to find GCD of 31, 919, 746, 684?

You can find a detailed procedure to find GCD of 31, 919, 746, 684 on our page.

3. How to find GCD of 31, 919, 746, 684 on a calculator?

You can find the GCD of 31, 919, 746, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.