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GCD of 800, 792, 996, 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 800, 792, 996, 988 quickly. Get the easiest ways to solve the greatest common divisor of 800, 792, 996, 988 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 792, 996, 988 with Factoring?

Given Input numbers are 800, 792, 996, 988

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 (800, 792, 996, 988) = 4.

Find GCD of 800, 792, 996, 988 using Prime Factorization

Given numbers are 800, 792, 996, 988

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 996 are 2 x 2 x 3 x 83

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

The highest common occurrence is 22

Therefore, GCD of 800, 792, 996, 988 is 4.

Steps to Calculate GCD of 800, 792, 996, 988 using LCM Formula

Given numbers are 800, 792, 996, 988

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

Apply this formula for all numbers.

Step1:

LCM(800, 792) = 79200

GCD(800, 792) = ( 800 x 792 ) / 79200

= 800 / 792

= 800


Step2:

LCM(8, 996) = 1992

GCD(8, 996) = ( 8 x 996 ) / 1992

= 8 / 996

= 8


Step3:

LCM(4, 988) = 988

GCD(4, 988) = ( 4 x 988 ) / 988

= 4 / 988

= 4


So, Greatest Common Divisor of 800, 792, 996, 988 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 792, 996, 988

Given numbers are 800, 792, 996, 988
The greatest common divisor of numbers 800, 792, 996, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 792, 996, 988 is 4.

FAQs on GCD of 800, 792, 996, 988 Calculator

1. What is the GCD of 800, 792, 996, 988?

GCD of given numbers 800, 792, 996, 988 is 4


2. How to calculate the greatest common divisor of 800, 792, 996, 988?

We can find the highest common divisor of 800, 792, 996, 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 800, 792, 996, 988 i.e 4.


3. How can I use the GCD of 800, 792, 996, 988Calculator?

Out the numbers 800, 792, 996, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.