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GCD of 988, 272, 130, 584 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 988, 272, 130, 584 quickly. Get the easiest ways to solve the greatest common divisor of 988, 272, 130, 584 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 272, 130, 584 with Factoring?

Given Input numbers are 988, 272, 130, 584

In the factoring method, we have to find the divisors of all numbers

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584


GCD of numbers is the greatest common divisor

So, the GCD (988, 272, 130, 584) = 2.

Find GCD of 988, 272, 130, 584 using Prime Factorization

Given numbers are 988, 272, 130, 584

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 130 are 2 x 5 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 21

Therefore, GCD of 988, 272, 130, 584 is 2.

Steps to Calculate GCD of 988, 272, 130, 584 using LCM Formula

Given numbers are 988, 272, 130, 584

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(988, 272) = 67184

GCD(988, 272) = ( 988 x 272 ) / 67184

= 988 / 272

= 988


Step2:

LCM(4, 130) = 260

GCD(4, 130) = ( 4 x 130 ) / 260

= 4 / 130

= 4


Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2


So, Greatest Common Divisor of 988, 272, 130, 584 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 272, 130, 584

Given numbers are 988, 272, 130, 584
The greatest common divisor of numbers 988, 272, 130, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 272, 130, 584 is 2.

FAQs on GCD of 988, 272, 130, 584 Calculator

1. What is the GCD of 988, 272, 130, 584?

GCD of given numbers 988, 272, 130, 584 is 2


2. How to calculate the greatest common divisor of 988, 272, 130, 584?

We can find the highest common divisor of 988, 272, 130, 584 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 988, 272, 130, 584 i.e 2.


3. How can I use the GCD of 988, 272, 130, 584Calculator?

Out the numbers 988, 272, 130, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.