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GCD of 472, 490, 371, 916 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 490, 371, 916 quickly. Get the easiest ways to solve the greatest common divisor of 472, 490, 371, 916 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 490, 371, 916 with Factoring?

Given Input numbers are 472, 490, 371, 916

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916


GCD of numbers is the greatest common divisor

So, the GCD (472, 490, 371, 916) = 1.

Find GCD of 472, 490, 371, 916 using Prime Factorization

Given numbers are 472, 490, 371, 916

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 371 are 7 x 53

Prime factors of 916 are 2 x 2 x 229

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

Steps to Calculate GCD of 472, 490, 371, 916 using LCM Formula

Given numbers are 472, 490, 371, 916

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

Apply this formula for all numbers.

Step1:

LCM(472, 490) = 115640

GCD(472, 490) = ( 472 x 490 ) / 115640

= 472 / 490

= 472


Step2:

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

= 2 / 371

= 2


Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1


So, Greatest Common Divisor of 472, 490, 371, 916 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 490, 371, 916

Given numbers are 472, 490, 371, 916
The greatest common divisor of numbers 472, 490, 371, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 490, 371, 916 is 1.

FAQs on GCD of 472, 490, 371, 916 Calculator

1. What is the GCD of 472, 490, 371, 916?

GCD of given numbers 472, 490, 371, 916 is 1


2. How to calculate the greatest common divisor of 472, 490, 371, 916?

We can find the highest common divisor of 472, 490, 371, 916 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 472, 490, 371, 916 i.e 1.


3. How can I use the GCD of 472, 490, 371, 916Calculator?

Out the numbers 472, 490, 371, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.