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GCD of 872, 763, 53 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 763, 53 quickly. Get the easiest ways to solve the greatest common divisor of 872, 763, 53 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 763, 53 with Factoring?

Given Input numbers are 872, 763, 53

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

Divisors of 872 :

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

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

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 53 :

The positive integer divisors of 53 that completely divides 53 are.

1, 53


GCD of numbers is the greatest common divisor

So, the GCD (872, 763, 53) = 1.

Find GCD of 872, 763, 53 using Prime Factorization

Given numbers are 872, 763, 53

The list of prime factors of all numbers are

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

Prime factors of 763 are 7 x 109

Prime factors of 53 are 53

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

Steps to Calculate GCD of 872, 763, 53 using LCM Formula

Given numbers are 872, 763, 53

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

Apply this formula for all numbers.

Step1:

LCM(872, 763) = 6104

GCD(872, 763) = ( 872 x 763 ) / 6104

= 872 / 763

= 872


Step2:

LCM(109, 53) = 5777

GCD(109, 53) = ( 109 x 53 ) / 5777

= 109 / 53

= 109


So, Greatest Common Divisor of 872, 763, 53 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 763, 53

Given numbers are 872, 763, 53
The greatest common divisor of numbers 872, 763, 53 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 763, 53 is 1.

FAQs on GCD of 872, 763, 53 Calculator

1. What is the GCD of 872, 763, 53?

GCD of given numbers 872, 763, 53 is 1


2. How to calculate the greatest common divisor of 872, 763, 53?

We can find the highest common divisor of 872, 763, 53 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 872, 763, 53 i.e 1.


3. How can I use the GCD of 872, 763, 53Calculator?

Out the numbers 872, 763, 53 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.