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GCD of 580, 936, 220, 346 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, 936, 220, 346 quickly. Get the easiest ways to solve the greatest common divisor of 580, 936, 220, 346 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 936, 220, 346 with Factoring?

Given Input numbers are 580, 936, 220, 346

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346


GCD of numbers is the greatest common divisor

So, the GCD (580, 936, 220, 346) = 2.

Find GCD of 580, 936, 220, 346 using Prime Factorization

Given numbers are 580, 936, 220, 346

The list of prime factors of all numbers are

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

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 346 are 2 x 173

The highest common occurrence is 21

Therefore, GCD of 580, 936, 220, 346 is 2.

Steps to Calculate GCD of 580, 936, 220, 346 using LCM Formula

Given numbers are 580, 936, 220, 346

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

Apply this formula for all numbers.

Step1:

LCM(580, 936) = 135720

GCD(580, 936) = ( 580 x 936 ) / 135720

= 580 / 936

= 580


Step2:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4


Step3:

LCM(4, 346) = 692

GCD(4, 346) = ( 4 x 346 ) / 692

= 4 / 346

= 4


So, Greatest Common Divisor of 580, 936, 220, 346 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 936, 220, 346

Given numbers are 580, 936, 220, 346
The greatest common divisor of numbers 580, 936, 220, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 936, 220, 346 is 2.

FAQs on GCD of 580, 936, 220, 346 Calculator

1. What is the GCD of 580, 936, 220, 346?

GCD of given numbers 580, 936, 220, 346 is 2


2. How to calculate the greatest common divisor of 580, 936, 220, 346?

We can find the highest common divisor of 580, 936, 220, 346 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, 936, 220, 346 i.e 2.


3. How can I use the GCD of 580, 936, 220, 346Calculator?

Out the numbers 580, 936, 220, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.