LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 656, 440, 956, 588 Calculator

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


Online GCD Calculator is useful to find the GCD of 656, 440, 956, 588 quickly. Get the easiest ways to solve the greatest common divisor of 656, 440, 956, 588 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 656, 440, 956, 588 with Factoring?

Given Input numbers are 656, 440, 956, 588

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

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


GCD of numbers is the greatest common divisor

So, the GCD (656, 440, 956, 588) = 4.

Find GCD of 656, 440, 956, 588 using Prime Factorization

Given numbers are 656, 440, 956, 588

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 956 are 2 x 2 x 239

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

The highest common occurrence is 22

Therefore, GCD of 656, 440, 956, 588 is 4.

Steps to Calculate GCD of 656, 440, 956, 588 using LCM Formula

Given numbers are 656, 440, 956, 588

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

Apply this formula for all numbers.

Step1:

LCM(656, 440) = 36080

GCD(656, 440) = ( 656 x 440 ) / 36080

= 656 / 440

= 656


Step2:

LCM(8, 956) = 1912

GCD(8, 956) = ( 8 x 956 ) / 1912

= 8 / 956

= 8


Step3:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4


So, Greatest Common Divisor of 656, 440, 956, 588 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 656, 440, 956, 588

Given numbers are 656, 440, 956, 588
The greatest common divisor of numbers 656, 440, 956, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 440, 956, 588 is 4.

FAQs on GCD of 656, 440, 956, 588 Calculator

1. What is the GCD of 656, 440, 956, 588?

GCD of given numbers 656, 440, 956, 588 is 4


2. How to calculate the greatest common divisor of 656, 440, 956, 588?

We can find the highest common divisor of 656, 440, 956, 588 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 656, 440, 956, 588 i.e 4.


3. How can I use the GCD of 656, 440, 956, 588Calculator?

Out the numbers 656, 440, 956, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.