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GCD of 696, 500, 984 Calculator

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

Online GCD Calculator is useful to find the GCD of 696, 500, 984 quickly. Get the easiest ways to solve the greatest common divisor of 696, 500, 984 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 696, 500, 984 with Factoring?

Given Input numbers are 696, 500, 984

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (696, 500, 984) = 4.

Find GCD of 696, 500, 984 using Prime Factorization

Given numbers are 696, 500, 984

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 22

Therefore, GCD of 696, 500, 984 is 4.

Steps to Calculate GCD of 696, 500, 984 using LCM Formula

Given numbers are 696, 500, 984

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

Apply this formula for all numbers.

Step1:

LCM(696, 500) = 87000

GCD(696, 500) = ( 696 x 500 ) / 87000

= 696 / 500

= 696

Step2:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4


So, Greatest Common Divisor of 696, 500, 984 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 696, 500, 984

Given numbers are 696, 500, 984
The greatest common divisor of numbers 696, 500, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 500, 984 is 4.

FAQs on GCD of 696, 500, 984 Calculator

1. What is the GCD of 696, 500, 984?

GCD of given numbers 696, 500, 984 is 4

2. How to calculate the greatest common divisor of 696, 500, 984?

We can find the highest common divisor of 696, 500, 984 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 696, 500, 984 i.e 4.

3. How can I use the GCD of 696, 500, 984Calculator?

Out the numbers 696, 500, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.