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GCD of 790, 916, 120, 569 Calculator

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


Online GCD Calculator is useful to find the GCD of 790, 916, 120, 569 quickly. Get the easiest ways to solve the greatest common divisor of 790, 916, 120, 569 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 790, 916, 120, 569 with Factoring?

Given Input numbers are 790, 916, 120, 569

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 569 :

The positive integer divisors of 569 that completely divides 569 are.

1, 569


GCD of numbers is the greatest common divisor

So, the GCD (790, 916, 120, 569) = 1.

Find GCD of 790, 916, 120, 569 using Prime Factorization

Given numbers are 790, 916, 120, 569

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 916 are 2 x 2 x 229

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 569 are 569

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

Steps to Calculate GCD of 790, 916, 120, 569 using LCM Formula

Given numbers are 790, 916, 120, 569

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

Apply this formula for all numbers.

Step1:

LCM(790, 916) = 361820

GCD(790, 916) = ( 790 x 916 ) / 361820

= 790 / 916

= 790


Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


Step3:

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

= 2 / 569

= 2


So, Greatest Common Divisor of 790, 916, 120, 569 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 790, 916, 120, 569

Given numbers are 790, 916, 120, 569
The greatest common divisor of numbers 790, 916, 120, 569 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 916, 120, 569 is 1.

FAQs on GCD of 790, 916, 120, 569 Calculator

1. What is the GCD of 790, 916, 120, 569?

GCD of given numbers 790, 916, 120, 569 is 1


2. How to calculate the greatest common divisor of 790, 916, 120, 569?

We can find the highest common divisor of 790, 916, 120, 569 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 790, 916, 120, 569 i.e 1.


3. How can I use the GCD of 790, 916, 120, 569Calculator?

Out the numbers 790, 916, 120, 569 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.