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GCD of 721, 175, 822, 522 Calculator

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


Online GCD Calculator is useful to find the GCD of 721, 175, 822, 522 quickly. Get the easiest ways to solve the greatest common divisor of 721, 175, 822, 522 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 721, 175, 822, 522 with Factoring?

Given Input numbers are 721, 175, 822, 522

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522


GCD of numbers is the greatest common divisor

So, the GCD (721, 175, 822, 522) = 1.

Find GCD of 721, 175, 822, 522 using Prime Factorization

Given numbers are 721, 175, 822, 522

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 175 are 5 x 5 x 7

Prime factors of 822 are 2 x 3 x 137

Prime factors of 522 are 2 x 3 x 3 x 29

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

Steps to Calculate GCD of 721, 175, 822, 522 using LCM Formula

Given numbers are 721, 175, 822, 522

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

Apply this formula for all numbers.

Step1:

LCM(721, 175) = 18025

GCD(721, 175) = ( 721 x 175 ) / 18025

= 721 / 175

= 721


Step2:

LCM(7, 822) = 5754

GCD(7, 822) = ( 7 x 822 ) / 5754

= 7 / 822

= 7


Step3:

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

= 1 / 522

= 1


So, Greatest Common Divisor of 721, 175, 822, 522 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 721, 175, 822, 522

Given numbers are 721, 175, 822, 522
The greatest common divisor of numbers 721, 175, 822, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 175, 822, 522 is 1.

FAQs on GCD of 721, 175, 822, 522 Calculator

1. What is the GCD of 721, 175, 822, 522?

GCD of given numbers 721, 175, 822, 522 is 1


2. How to calculate the greatest common divisor of 721, 175, 822, 522?

We can find the highest common divisor of 721, 175, 822, 522 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 721, 175, 822, 522 i.e 1.


3. How can I use the GCD of 721, 175, 822, 522Calculator?

Out the numbers 721, 175, 822, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.