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GCD of 988, 456, 124 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, 456, 124 quickly. Get the easiest ways to solve the greatest common divisor of 988, 456, 124 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 456, 124 with Factoring?

Given Input numbers are 988, 456, 124

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124


GCD of numbers is the greatest common divisor

So, the GCD (988, 456, 124) = 4.

Find GCD of 988, 456, 124 using Prime Factorization

Given numbers are 988, 456, 124

The list of prime factors of all numbers are

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 124 are 2 x 2 x 31

The highest common occurrence is 22

Therefore, GCD of 988, 456, 124 is 4.

Steps to Calculate GCD of 988, 456, 124 using LCM Formula

Given numbers are 988, 456, 124

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

Apply this formula for all numbers.

Step1:

LCM(988, 456) = 5928

GCD(988, 456) = ( 988 x 456 ) / 5928

= 988 / 456

= 988


Step2:

LCM(76, 124) = 2356

GCD(76, 124) = ( 76 x 124 ) / 2356

= 76 / 124

= 76


So, Greatest Common Divisor of 988, 456, 124 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 456, 124

Given numbers are 988, 456, 124
The greatest common divisor of numbers 988, 456, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 456, 124 is 4.

FAQs on GCD of 988, 456, 124 Calculator

1. What is the GCD of 988, 456, 124?

GCD of given numbers 988, 456, 124 is 4


2. How to calculate the greatest common divisor of 988, 456, 124?

We can find the highest common divisor of 988, 456, 124 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, 456, 124 i.e 4.


3. How can I use the GCD of 988, 456, 124Calculator?

Out the numbers 988, 456, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.