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GCD of 501, 872, 61, 653 Calculator

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


Online GCD Calculator is useful to find the GCD of 501, 872, 61, 653 quickly. Get the easiest ways to solve the greatest common divisor of 501, 872, 61, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 501, 872, 61, 653 with Factoring?

Given Input numbers are 501, 872, 61, 653

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 61 :

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

1, 61

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (501, 872, 61, 653) = 1.

Find GCD of 501, 872, 61, 653 using Prime Factorization

Given numbers are 501, 872, 61, 653

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 61 are 61

Prime factors of 653 are 653

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

Steps to Calculate GCD of 501, 872, 61, 653 using LCM Formula

Given numbers are 501, 872, 61, 653

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

Apply this formula for all numbers.

Step1:

LCM(501, 872) = 436872

GCD(501, 872) = ( 501 x 872 ) / 436872

= 501 / 872

= 501


Step2:

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

= 1 / 61

= 1


Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


So, Greatest Common Divisor of 501, 872, 61, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 501, 872, 61, 653

Given numbers are 501, 872, 61, 653
The greatest common divisor of numbers 501, 872, 61, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 872, 61, 653 is 1.

FAQs on GCD of 501, 872, 61, 653 Calculator

1. What is the GCD of 501, 872, 61, 653?

GCD of given numbers 501, 872, 61, 653 is 1


2. How to calculate the greatest common divisor of 501, 872, 61, 653?

We can find the highest common divisor of 501, 872, 61, 653 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 501, 872, 61, 653 i.e 1.


3. How can I use the GCD of 501, 872, 61, 653Calculator?

Out the numbers 501, 872, 61, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.