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GCD of 624, 668, 256, 688 Calculator

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


Online GCD Calculator is useful to find the GCD of 624, 668, 256, 688 quickly. Get the easiest ways to solve the greatest common divisor of 624, 668, 256, 688 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 624, 668, 256, 688 with Factoring?

Given Input numbers are 624, 668, 256, 688

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688


GCD of numbers is the greatest common divisor

So, the GCD (624, 668, 256, 688) = 4.

Find GCD of 624, 668, 256, 688 using Prime Factorization

Given numbers are 624, 668, 256, 688

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 668 are 2 x 2 x 167

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 22

Therefore, GCD of 624, 668, 256, 688 is 4.

Steps to Calculate GCD of 624, 668, 256, 688 using LCM Formula

Given numbers are 624, 668, 256, 688

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

Apply this formula for all numbers.

Step1:

LCM(624, 668) = 104208

GCD(624, 668) = ( 624 x 668 ) / 104208

= 624 / 668

= 624


Step2:

LCM(4, 256) = 256

GCD(4, 256) = ( 4 x 256 ) / 256

= 4 / 256

= 4


Step3:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4


So, Greatest Common Divisor of 624, 668, 256, 688 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 624, 668, 256, 688

Given numbers are 624, 668, 256, 688
The greatest common divisor of numbers 624, 668, 256, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 668, 256, 688 is 4.

FAQs on GCD of 624, 668, 256, 688 Calculator

1. What is the GCD of 624, 668, 256, 688?

GCD of given numbers 624, 668, 256, 688 is 4


2. How to calculate the greatest common divisor of 624, 668, 256, 688?

We can find the highest common divisor of 624, 668, 256, 688 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 624, 668, 256, 688 i.e 4.


3. How can I use the GCD of 624, 668, 256, 688Calculator?

Out the numbers 624, 668, 256, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.