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GCD of 522, 207, 908, 742 Calculator

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


Online GCD Calculator is useful to find the GCD of 522, 207, 908, 742 quickly. Get the easiest ways to solve the greatest common divisor of 522, 207, 908, 742 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 207, 908, 742 with Factoring?

Given Input numbers are 522, 207, 908, 742

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

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (522, 207, 908, 742) = 1.

Find GCD of 522, 207, 908, 742 using Prime Factorization

Given numbers are 522, 207, 908, 742

The list of prime factors of all numbers are

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

Prime factors of 207 are 3 x 3 x 23

Prime factors of 908 are 2 x 2 x 227

Prime factors of 742 are 2 x 7 x 53

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

Steps to Calculate GCD of 522, 207, 908, 742 using LCM Formula

Given numbers are 522, 207, 908, 742

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

Apply this formula for all numbers.

Step1:

LCM(522, 207) = 12006

GCD(522, 207) = ( 522 x 207 ) / 12006

= 522 / 207

= 522


Step2:

LCM(9, 908) = 8172

GCD(9, 908) = ( 9 x 908 ) / 8172

= 9 / 908

= 9


Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1


So, Greatest Common Divisor of 522, 207, 908, 742 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 207, 908, 742

Given numbers are 522, 207, 908, 742
The greatest common divisor of numbers 522, 207, 908, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 207, 908, 742 is 1.

FAQs on GCD of 522, 207, 908, 742 Calculator

1. What is the GCD of 522, 207, 908, 742?

GCD of given numbers 522, 207, 908, 742 is 1


2. How to calculate the greatest common divisor of 522, 207, 908, 742?

We can find the highest common divisor of 522, 207, 908, 742 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 522, 207, 908, 742 i.e 1.


3. How can I use the GCD of 522, 207, 908, 742Calculator?

Out the numbers 522, 207, 908, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.