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GCD of 764, 988, 672, 676 Calculator

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


Online GCD Calculator is useful to find the GCD of 764, 988, 672, 676 quickly. Get the easiest ways to solve the greatest common divisor of 764, 988, 672, 676 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 764, 988, 672, 676 with Factoring?

Given Input numbers are 764, 988, 672, 676

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676


GCD of numbers is the greatest common divisor

So, the GCD (764, 988, 672, 676) = 4.

Find GCD of 764, 988, 672, 676 using Prime Factorization

Given numbers are 764, 988, 672, 676

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 22

Therefore, GCD of 764, 988, 672, 676 is 4.

Steps to Calculate GCD of 764, 988, 672, 676 using LCM Formula

Given numbers are 764, 988, 672, 676

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

Apply this formula for all numbers.

Step1:

LCM(764, 988) = 188708

GCD(764, 988) = ( 764 x 988 ) / 188708

= 764 / 988

= 764


Step2:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4


Step3:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4


So, Greatest Common Divisor of 764, 988, 672, 676 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 764, 988, 672, 676

Given numbers are 764, 988, 672, 676
The greatest common divisor of numbers 764, 988, 672, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 988, 672, 676 is 4.

FAQs on GCD of 764, 988, 672, 676 Calculator

1. What is the GCD of 764, 988, 672, 676?

GCD of given numbers 764, 988, 672, 676 is 4


2. How to calculate the greatest common divisor of 764, 988, 672, 676?

We can find the highest common divisor of 764, 988, 672, 676 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 764, 988, 672, 676 i.e 4.


3. How can I use the GCD of 764, 988, 672, 676Calculator?

Out the numbers 764, 988, 672, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.