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GCD of 580, 452, 92, 132 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, 452, 92, 132 quickly. Get the easiest ways to solve the greatest common divisor of 580, 452, 92, 132 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 452, 92, 132 with Factoring?

Given Input numbers are 580, 452, 92, 132

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132


GCD of numbers is the greatest common divisor

So, the GCD (580, 452, 92, 132) = 4.

Find GCD of 580, 452, 92, 132 using Prime Factorization

Given numbers are 580, 452, 92, 132

The list of prime factors of all numbers are

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

Prime factors of 452 are 2 x 2 x 113

Prime factors of 92 are 2 x 2 x 23

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 22

Therefore, GCD of 580, 452, 92, 132 is 4.

Steps to Calculate GCD of 580, 452, 92, 132 using LCM Formula

Given numbers are 580, 452, 92, 132

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

Apply this formula for all numbers.

Step1:

LCM(580, 452) = 65540

GCD(580, 452) = ( 580 x 452 ) / 65540

= 580 / 452

= 580


Step2:

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

= 4 / 92

= 4


Step3:

LCM(4, 132) = 132

GCD(4, 132) = ( 4 x 132 ) / 132

= 4 / 132

= 4


So, Greatest Common Divisor of 580, 452, 92, 132 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 452, 92, 132

Given numbers are 580, 452, 92, 132
The greatest common divisor of numbers 580, 452, 92, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 452, 92, 132 is 4.

FAQs on GCD of 580, 452, 92, 132 Calculator

1. What is the GCD of 580, 452, 92, 132?

GCD of given numbers 580, 452, 92, 132 is 4


2. How to calculate the greatest common divisor of 580, 452, 92, 132?

We can find the highest common divisor of 580, 452, 92, 132 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, 452, 92, 132 i.e 4.


3. How can I use the GCD of 580, 452, 92, 132Calculator?

Out the numbers 580, 452, 92, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.