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GCD of 638, 640, 832, 988 Calculator

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


Online GCD Calculator is useful to find the GCD of 638, 640, 832, 988 quickly. Get the easiest ways to solve the greatest common divisor of 638, 640, 832, 988 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 638, 640, 832, 988 with Factoring?

Given Input numbers are 638, 640, 832, 988

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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


GCD of numbers is the greatest common divisor

So, the GCD (638, 640, 832, 988) = 2.

Find GCD of 638, 640, 832, 988 using Prime Factorization

Given numbers are 638, 640, 832, 988

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

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

The highest common occurrence is 21

Therefore, GCD of 638, 640, 832, 988 is 2.

Steps to Calculate GCD of 638, 640, 832, 988 using LCM Formula

Given numbers are 638, 640, 832, 988

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

Apply this formula for all numbers.

Step1:

LCM(638, 640) = 204160

GCD(638, 640) = ( 638 x 640 ) / 204160

= 638 / 640

= 638


Step2:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2


Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2


So, Greatest Common Divisor of 638, 640, 832, 988 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 638, 640, 832, 988

Given numbers are 638, 640, 832, 988
The greatest common divisor of numbers 638, 640, 832, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 640, 832, 988 is 2.

FAQs on GCD of 638, 640, 832, 988 Calculator

1. What is the GCD of 638, 640, 832, 988?

GCD of given numbers 638, 640, 832, 988 is 2


2. How to calculate the greatest common divisor of 638, 640, 832, 988?

We can find the highest common divisor of 638, 640, 832, 988 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 638, 640, 832, 988 i.e 2.


3. How can I use the GCD of 638, 640, 832, 988Calculator?

Out the numbers 638, 640, 832, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.