GCD of 54, 684, 988, 751 Calculator

Given Input numbers are 54, 684, 988, 751

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 54, 684, 988, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 684, 988, 751 is 1.

Therefore, GCD of numbers 54, 684, 988, 751 is 1

Given Input Data is 54, 684, 988, 751

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 751 is 751

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(54, 684) = 2052

GCD(54, 684) = ( 54 x 684 ) / 2052

GCD(54, 684) = 36936 / 2052

GCD(54, 684) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 988

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

LCM(18, 988) = 8892

GCD(18, 988) = ( 18 x 988 ) / 8892

GCD(18, 988) = 17784 / 8892

GCD(18, 988) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 751

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

LCM(2, 751) = 1502

GCD(2, 751) = ( 2 x 751 ) / 1502

GCD(2, 751) = 1502 / 1502

GCD(2, 751) = 1

GCD of 54, 684, 988, 751 is 1

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1. What is the GCD of 54, 684, 988, 751?

GCD of 54, 684, 988, 751 is 1

2. Where do I get the detailed procedure to find GCD of 54, 684, 988, 751?

You can find a detailed procedure to find GCD of 54, 684, 988, 751 on our page.

3. How to find GCD of 54, 684, 988, 751 on a calculator?

You can find the GCD of 54, 684, 988, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.