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GCD of 660, 788, 614, 908 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 788, 614, 908 quickly. Get the easiest ways to solve the greatest common divisor of 660, 788, 614, 908 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 788, 614, 908 with Factoring?

Given Input numbers are 660, 788, 614, 908

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (660, 788, 614, 908) = 2.

Find GCD of 660, 788, 614, 908 using Prime Factorization

Given numbers are 660, 788, 614, 908

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 788 are 2 x 2 x 197

Prime factors of 614 are 2 x 307

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 21

Therefore, GCD of 660, 788, 614, 908 is 2.

Steps to Calculate GCD of 660, 788, 614, 908 using LCM Formula

Given numbers are 660, 788, 614, 908

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

Apply this formula for all numbers.

Step1:

LCM(660, 788) = 130020

GCD(660, 788) = ( 660 x 788 ) / 130020

= 660 / 788

= 660


Step2:

LCM(4, 614) = 1228

GCD(4, 614) = ( 4 x 614 ) / 1228

= 4 / 614

= 4


Step3:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2


So, Greatest Common Divisor of 660, 788, 614, 908 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 788, 614, 908

Given numbers are 660, 788, 614, 908
The greatest common divisor of numbers 660, 788, 614, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 788, 614, 908 is 2.

FAQs on GCD of 660, 788, 614, 908 Calculator

1. What is the GCD of 660, 788, 614, 908?

GCD of given numbers 660, 788, 614, 908 is 2


2. How to calculate the greatest common divisor of 660, 788, 614, 908?

We can find the highest common divisor of 660, 788, 614, 908 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 660, 788, 614, 908 i.e 2.


3. How can I use the GCD of 660, 788, 614, 908Calculator?

Out the numbers 660, 788, 614, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.