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GCD of 500, 792, 61 Calculator

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

Online GCD Calculator is useful to find the GCD of 500, 792, 61 quickly. Get the easiest ways to solve the greatest common divisor of 500, 792, 61 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 792, 61 with Factoring?

Given Input numbers are 500, 792, 61

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

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 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 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61


GCD of numbers is the greatest common divisor

So, the GCD (500, 792, 61) = 1.

Find GCD of 500, 792, 61 using Prime Factorization

Given numbers are 500, 792, 61

The list of prime factors of all numbers are

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

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

Prime factors of 61 are 61

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 500, 792, 61 using LCM Formula

Given numbers are 500, 792, 61

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

Apply this formula for all numbers.

Step1:

LCM(500, 792) = 99000

GCD(500, 792) = ( 500 x 792 ) / 99000

= 500 / 792

= 500

Step2:

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

= 4 / 61

= 4


So, Greatest Common Divisor of 500, 792, 61 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 792, 61

Given numbers are 500, 792, 61
The greatest common divisor of numbers 500, 792, 61 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 792, 61 is 1.

FAQs on GCD of 500, 792, 61 Calculator

1. What is the GCD of 500, 792, 61?

GCD of given numbers 500, 792, 61 is 1

2. How to calculate the greatest common divisor of 500, 792, 61?

We can find the highest common divisor of 500, 792, 61 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 500, 792, 61 i.e 1.

3. How can I use the GCD of 500, 792, 61Calculator?

Out the numbers 500, 792, 61 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.