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GCD of 976, 862, 378, 792 Calculator

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


Online GCD Calculator is useful to find the GCD of 976, 862, 378, 792 quickly. Get the easiest ways to solve the greatest common divisor of 976, 862, 378, 792 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 976, 862, 378, 792 with Factoring?

Given Input numbers are 976, 862, 378, 792

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792


GCD of numbers is the greatest common divisor

So, the GCD (976, 862, 378, 792) = 2.

Find GCD of 976, 862, 378, 792 using Prime Factorization

Given numbers are 976, 862, 378, 792

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 862 are 2 x 431

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 976, 862, 378, 792 is 2.

Steps to Calculate GCD of 976, 862, 378, 792 using LCM Formula

Given numbers are 976, 862, 378, 792

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

Apply this formula for all numbers.

Step1:

LCM(976, 862) = 420656

GCD(976, 862) = ( 976 x 862 ) / 420656

= 976 / 862

= 976


Step2:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2


Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2


So, Greatest Common Divisor of 976, 862, 378, 792 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 976, 862, 378, 792

Given numbers are 976, 862, 378, 792
The greatest common divisor of numbers 976, 862, 378, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 862, 378, 792 is 2.

FAQs on GCD of 976, 862, 378, 792 Calculator

1. What is the GCD of 976, 862, 378, 792?

GCD of given numbers 976, 862, 378, 792 is 2


2. How to calculate the greatest common divisor of 976, 862, 378, 792?

We can find the highest common divisor of 976, 862, 378, 792 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 976, 862, 378, 792 i.e 2.


3. How can I use the GCD of 976, 862, 378, 792Calculator?

Out the numbers 976, 862, 378, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.