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GCD of 916, 222, 390, 491 Calculator

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


Online GCD Calculator is useful to find the GCD of 916, 222, 390, 491 quickly. Get the easiest ways to solve the greatest common divisor of 916, 222, 390, 491 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 916, 222, 390, 491 with Factoring?

Given Input numbers are 916, 222, 390, 491

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

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491


GCD of numbers is the greatest common divisor

So, the GCD (916, 222, 390, 491) = 1.

Find GCD of 916, 222, 390, 491 using Prime Factorization

Given numbers are 916, 222, 390, 491

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 222 are 2 x 3 x 37

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 491 are 491

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

Steps to Calculate GCD of 916, 222, 390, 491 using LCM Formula

Given numbers are 916, 222, 390, 491

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

Apply this formula for all numbers.

Step1:

LCM(916, 222) = 101676

GCD(916, 222) = ( 916 x 222 ) / 101676

= 916 / 222

= 916


Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2


Step3:

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

= 2 / 491

= 2


So, Greatest Common Divisor of 916, 222, 390, 491 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 916, 222, 390, 491

Given numbers are 916, 222, 390, 491
The greatest common divisor of numbers 916, 222, 390, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 222, 390, 491 is 1.

FAQs on GCD of 916, 222, 390, 491 Calculator

1. What is the GCD of 916, 222, 390, 491?

GCD of given numbers 916, 222, 390, 491 is 1


2. How to calculate the greatest common divisor of 916, 222, 390, 491?

We can find the highest common divisor of 916, 222, 390, 491 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 916, 222, 390, 491 i.e 1.


3. How can I use the GCD of 916, 222, 390, 491Calculator?

Out the numbers 916, 222, 390, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.