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GCD of 897, 785, 920, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 785, 920, 872 quickly. Get the easiest ways to solve the greatest common divisor of 897, 785, 920, 872 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 785, 920, 872 with Factoring?

Given Input numbers are 897, 785, 920, 872

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 872 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (897, 785, 920, 872) = 1.

Find GCD of 897, 785, 920, 872 using Prime Factorization

Given numbers are 897, 785, 920, 872

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 785 are 5 x 157

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

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

Steps to Calculate GCD of 897, 785, 920, 872 using LCM Formula

Given numbers are 897, 785, 920, 872

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

Apply this formula for all numbers.

Step1:

LCM(897, 785) = 704145

GCD(897, 785) = ( 897 x 785 ) / 704145

= 897 / 785

= 897


Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1


So, Greatest Common Divisor of 897, 785, 920, 872 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 785, 920, 872

Given numbers are 897, 785, 920, 872
The greatest common divisor of numbers 897, 785, 920, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 785, 920, 872 is 1.

FAQs on GCD of 897, 785, 920, 872 Calculator

1. What is the GCD of 897, 785, 920, 872?

GCD of given numbers 897, 785, 920, 872 is 1


2. How to calculate the greatest common divisor of 897, 785, 920, 872?

We can find the highest common divisor of 897, 785, 920, 872 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 897, 785, 920, 872 i.e 1.


3. How can I use the GCD of 897, 785, 920, 872Calculator?

Out the numbers 897, 785, 920, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.