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GCD of 580, 962, 520, 756 Calculator

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


Online GCD Calculator is useful to find the GCD of 580, 962, 520, 756 quickly. Get the easiest ways to solve the greatest common divisor of 580, 962, 520, 756 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 962, 520, 756 with Factoring?

Given Input numbers are 580, 962, 520, 756

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756


GCD of numbers is the greatest common divisor

So, the GCD (580, 962, 520, 756) = 2.

Find GCD of 580, 962, 520, 756 using Prime Factorization

Given numbers are 580, 962, 520, 756

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 962 are 2 x 13 x 37

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 580, 962, 520, 756 is 2.

Steps to Calculate GCD of 580, 962, 520, 756 using LCM Formula

Given numbers are 580, 962, 520, 756

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

Apply this formula for all numbers.

Step1:

LCM(580, 962) = 278980

GCD(580, 962) = ( 580 x 962 ) / 278980

= 580 / 962

= 580


Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2


Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2


So, Greatest Common Divisor of 580, 962, 520, 756 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 962, 520, 756

Given numbers are 580, 962, 520, 756
The greatest common divisor of numbers 580, 962, 520, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 962, 520, 756 is 2.

FAQs on GCD of 580, 962, 520, 756 Calculator

1. What is the GCD of 580, 962, 520, 756?

GCD of given numbers 580, 962, 520, 756 is 2


2. How to calculate the greatest common divisor of 580, 962, 520, 756?

We can find the highest common divisor of 580, 962, 520, 756 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 580, 962, 520, 756 i.e 2.


3. How can I use the GCD of 580, 962, 520, 756Calculator?

Out the numbers 580, 962, 520, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.