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GCD of 580, 288, 418, 948 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, 288, 418, 948 quickly. Get the easiest ways to solve the greatest common divisor of 580, 288, 418, 948 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 288, 418, 948 with Factoring?

Given Input numbers are 580, 288, 418, 948

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948


GCD of numbers is the greatest common divisor

So, the GCD (580, 288, 418, 948) = 2.

Find GCD of 580, 288, 418, 948 using Prime Factorization

Given numbers are 580, 288, 418, 948

The list of prime factors of all numbers are

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 418 are 2 x 11 x 19

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 21

Therefore, GCD of 580, 288, 418, 948 is 2.

Steps to Calculate GCD of 580, 288, 418, 948 using LCM Formula

Given numbers are 580, 288, 418, 948

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

Apply this formula for all numbers.

Step1:

LCM(580, 288) = 41760

GCD(580, 288) = ( 580 x 288 ) / 41760

= 580 / 288

= 580


Step2:

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

= 4 / 418

= 4


Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2


So, Greatest Common Divisor of 580, 288, 418, 948 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 288, 418, 948

Given numbers are 580, 288, 418, 948
The greatest common divisor of numbers 580, 288, 418, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 288, 418, 948 is 2.

FAQs on GCD of 580, 288, 418, 948 Calculator

1. What is the GCD of 580, 288, 418, 948?

GCD of given numbers 580, 288, 418, 948 is 2


2. How to calculate the greatest common divisor of 580, 288, 418, 948?

We can find the highest common divisor of 580, 288, 418, 948 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, 288, 418, 948 i.e 2.


3. How can I use the GCD of 580, 288, 418, 948Calculator?

Out the numbers 580, 288, 418, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.