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GCD of 976, 996, 178, 964 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, 996, 178, 964 quickly. Get the easiest ways to solve the greatest common divisor of 976, 996, 178, 964 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 976, 996, 178, 964 with Factoring?

Given Input numbers are 976, 996, 178, 964

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 964 :

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

1, 2, 4, 241, 482, 964


GCD of numbers is the greatest common divisor

So, the GCD (976, 996, 178, 964) = 2.

Find GCD of 976, 996, 178, 964 using Prime Factorization

Given numbers are 976, 996, 178, 964

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 996 are 2 x 2 x 3 x 83

Prime factors of 178 are 2 x 89

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 21

Therefore, GCD of 976, 996, 178, 964 is 2.

Steps to Calculate GCD of 976, 996, 178, 964 using LCM Formula

Given numbers are 976, 996, 178, 964

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

Apply this formula for all numbers.

Step1:

LCM(976, 996) = 243024

GCD(976, 996) = ( 976 x 996 ) / 243024

= 976 / 996

= 976


Step2:

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

= 4 / 178

= 4


Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2


So, Greatest Common Divisor of 976, 996, 178, 964 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 976, 996, 178, 964

Given numbers are 976, 996, 178, 964
The greatest common divisor of numbers 976, 996, 178, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 996, 178, 964 is 2.

FAQs on GCD of 976, 996, 178, 964 Calculator

1. What is the GCD of 976, 996, 178, 964?

GCD of given numbers 976, 996, 178, 964 is 2


2. How to calculate the greatest common divisor of 976, 996, 178, 964?

We can find the highest common divisor of 976, 996, 178, 964 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, 996, 178, 964 i.e 2.


3. How can I use the GCD of 976, 996, 178, 964Calculator?

Out the numbers 976, 996, 178, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.