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GCD of 428, 921, 351, 917 Calculator

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


Online GCD Calculator is useful to find the GCD of 428, 921, 351, 917 quickly. Get the easiest ways to solve the greatest common divisor of 428, 921, 351, 917 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 428, 921, 351, 917 with Factoring?

Given Input numbers are 428, 921, 351, 917

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917


GCD of numbers is the greatest common divisor

So, the GCD (428, 921, 351, 917) = 1.

Find GCD of 428, 921, 351, 917 using Prime Factorization

Given numbers are 428, 921, 351, 917

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 921 are 3 x 307

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 917 are 7 x 131

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

Steps to Calculate GCD of 428, 921, 351, 917 using LCM Formula

Given numbers are 428, 921, 351, 917

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

Apply this formula for all numbers.

Step1:

LCM(428, 921) = 394188

GCD(428, 921) = ( 428 x 921 ) / 394188

= 428 / 921

= 428


Step2:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1


Step3:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1


So, Greatest Common Divisor of 428, 921, 351, 917 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 921, 351, 917

Given numbers are 428, 921, 351, 917
The greatest common divisor of numbers 428, 921, 351, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 921, 351, 917 is 1.

FAQs on GCD of 428, 921, 351, 917 Calculator

1. What is the GCD of 428, 921, 351, 917?

GCD of given numbers 428, 921, 351, 917 is 1


2. How to calculate the greatest common divisor of 428, 921, 351, 917?

We can find the highest common divisor of 428, 921, 351, 917 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 428, 921, 351, 917 i.e 1.


3. How can I use the GCD of 428, 921, 351, 917Calculator?

Out the numbers 428, 921, 351, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.