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GCD of 588, 916, 948, 422 Calculator

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


Online GCD Calculator is useful to find the GCD of 588, 916, 948, 422 quickly. Get the easiest ways to solve the greatest common divisor of 588, 916, 948, 422 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 588, 916, 948, 422 with Factoring?

Given Input numbers are 588, 916, 948, 422

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422


GCD of numbers is the greatest common divisor

So, the GCD (588, 916, 948, 422) = 2.

Find GCD of 588, 916, 948, 422 using Prime Factorization

Given numbers are 588, 916, 948, 422

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 422 are 2 x 211

The highest common occurrence is 21

Therefore, GCD of 588, 916, 948, 422 is 2.

Steps to Calculate GCD of 588, 916, 948, 422 using LCM Formula

Given numbers are 588, 916, 948, 422

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

Apply this formula for all numbers.

Step1:

LCM(588, 916) = 134652

GCD(588, 916) = ( 588 x 916 ) / 134652

= 588 / 916

= 588


Step2:

LCM(4, 948) = 948

GCD(4, 948) = ( 4 x 948 ) / 948

= 4 / 948

= 4


Step3:

LCM(4, 422) = 844

GCD(4, 422) = ( 4 x 422 ) / 844

= 4 / 422

= 4


So, Greatest Common Divisor of 588, 916, 948, 422 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 588, 916, 948, 422

Given numbers are 588, 916, 948, 422
The greatest common divisor of numbers 588, 916, 948, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 916, 948, 422 is 2.

FAQs on GCD of 588, 916, 948, 422 Calculator

1. What is the GCD of 588, 916, 948, 422?

GCD of given numbers 588, 916, 948, 422 is 2


2. How to calculate the greatest common divisor of 588, 916, 948, 422?

We can find the highest common divisor of 588, 916, 948, 422 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 588, 916, 948, 422 i.e 2.


3. How can I use the GCD of 588, 916, 948, 422Calculator?

Out the numbers 588, 916, 948, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.