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GCD of 772, 964, 274, 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 772, 964, 274, 688 quickly. Get the easiest ways to solve the greatest common divisor of 772, 964, 274, 688 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 964, 274, 688 with Factoring?

Given Input numbers are 772, 964, 274, 688

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

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 (772, 964, 274, 688) = 2.

Find GCD of 772, 964, 274, 688 using Prime Factorization

Given numbers are 772, 964, 274, 688

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 964 are 2 x 2 x 241

Prime factors of 274 are 2 x 137

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

The highest common occurrence is 21

Therefore, GCD of 772, 964, 274, 688 is 2.

Steps to Calculate GCD of 772, 964, 274, 688 using LCM Formula

Given numbers are 772, 964, 274, 688

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

Apply this formula for all numbers.

Step1:

LCM(772, 964) = 186052

GCD(772, 964) = ( 772 x 964 ) / 186052

= 772 / 964

= 772


Step2:

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

= 4 / 274

= 4


Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2


So, Greatest Common Divisor of 772, 964, 274, 688 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 964, 274, 688

Given numbers are 772, 964, 274, 688
The greatest common divisor of numbers 772, 964, 274, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 964, 274, 688 is 2.

FAQs on GCD of 772, 964, 274, 688 Calculator

1. What is the GCD of 772, 964, 274, 688?

GCD of given numbers 772, 964, 274, 688 is 2


2. How to calculate the greatest common divisor of 772, 964, 274, 688?

We can find the highest common divisor of 772, 964, 274, 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 772, 964, 274, 688 i.e 2.


3. How can I use the GCD of 772, 964, 274, 688Calculator?

Out the numbers 772, 964, 274, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.