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GCD of 902, 638, 701, 889 Calculator

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


Online GCD Calculator is useful to find the GCD of 902, 638, 701, 889 quickly. Get the easiest ways to solve the greatest common divisor of 902, 638, 701, 889 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 902, 638, 701, 889 with Factoring?

Given Input numbers are 902, 638, 701, 889

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889


GCD of numbers is the greatest common divisor

So, the GCD (902, 638, 701, 889) = 1.

Find GCD of 902, 638, 701, 889 using Prime Factorization

Given numbers are 902, 638, 701, 889

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 638 are 2 x 11 x 29

Prime factors of 701 are 701

Prime factors of 889 are 7 x 127

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

Steps to Calculate GCD of 902, 638, 701, 889 using LCM Formula

Given numbers are 902, 638, 701, 889

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

Apply this formula for all numbers.

Step1:

LCM(902, 638) = 26158

GCD(902, 638) = ( 902 x 638 ) / 26158

= 902 / 638

= 902


Step2:

LCM(22, 701) = 15422

GCD(22, 701) = ( 22 x 701 ) / 15422

= 22 / 701

= 22


Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1


So, Greatest Common Divisor of 902, 638, 701, 889 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 902, 638, 701, 889

Given numbers are 902, 638, 701, 889
The greatest common divisor of numbers 902, 638, 701, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 638, 701, 889 is 1.

FAQs on GCD of 902, 638, 701, 889 Calculator

1. What is the GCD of 902, 638, 701, 889?

GCD of given numbers 902, 638, 701, 889 is 1


2. How to calculate the greatest common divisor of 902, 638, 701, 889?

We can find the highest common divisor of 902, 638, 701, 889 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 902, 638, 701, 889 i.e 1.


3. How can I use the GCD of 902, 638, 701, 889Calculator?

Out the numbers 902, 638, 701, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.