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GCD of 776, 656, 296, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 776, 656, 296, 660 quickly. Get the easiest ways to solve the greatest common divisor of 776, 656, 296, 660 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 776, 656, 296, 660 with Factoring?

Given Input numbers are 776, 656, 296, 660

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

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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


GCD of numbers is the greatest common divisor

So, the GCD (776, 656, 296, 660) = 4.

Find GCD of 776, 656, 296, 660 using Prime Factorization

Given numbers are 776, 656, 296, 660

The list of prime factors of all numbers are

Prime factors of 776 are 2 x 2 x 2 x 97

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

Prime factors of 296 are 2 x 2 x 2 x 37

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

The highest common occurrence is 22

Therefore, GCD of 776, 656, 296, 660 is 4.

Steps to Calculate GCD of 776, 656, 296, 660 using LCM Formula

Given numbers are 776, 656, 296, 660

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

Apply this formula for all numbers.

Step1:

LCM(776, 656) = 63632

GCD(776, 656) = ( 776 x 656 ) / 63632

= 776 / 656

= 776


Step2:

LCM(8, 296) = 296

GCD(8, 296) = ( 8 x 296 ) / 296

= 8 / 296

= 8


Step3:

LCM(8, 660) = 1320

GCD(8, 660) = ( 8 x 660 ) / 1320

= 8 / 660

= 8


So, Greatest Common Divisor of 776, 656, 296, 660 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 776, 656, 296, 660

Given numbers are 776, 656, 296, 660
The greatest common divisor of numbers 776, 656, 296, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 656, 296, 660 is 4.

FAQs on GCD of 776, 656, 296, 660 Calculator

1. What is the GCD of 776, 656, 296, 660?

GCD of given numbers 776, 656, 296, 660 is 4


2. How to calculate the greatest common divisor of 776, 656, 296, 660?

We can find the highest common divisor of 776, 656, 296, 660 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 776, 656, 296, 660 i.e 4.


3. How can I use the GCD of 776, 656, 296, 660Calculator?

Out the numbers 776, 656, 296, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.