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GCD of 968, 220, 132, 376 Calculator

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


Online GCD Calculator is useful to find the GCD of 968, 220, 132, 376 quickly. Get the easiest ways to solve the greatest common divisor of 968, 220, 132, 376 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 968, 220, 132, 376 with Factoring?

Given Input numbers are 968, 220, 132, 376

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376


GCD of numbers is the greatest common divisor

So, the GCD (968, 220, 132, 376) = 4.

Find GCD of 968, 220, 132, 376 using Prime Factorization

Given numbers are 968, 220, 132, 376

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 22

Therefore, GCD of 968, 220, 132, 376 is 4.

Steps to Calculate GCD of 968, 220, 132, 376 using LCM Formula

Given numbers are 968, 220, 132, 376

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

Apply this formula for all numbers.

Step1:

LCM(968, 220) = 4840

GCD(968, 220) = ( 968 x 220 ) / 4840

= 968 / 220

= 968


Step2:

LCM(44, 132) = 132

GCD(44, 132) = ( 44 x 132 ) / 132

= 44 / 132

= 44


Step3:

LCM(44, 376) = 4136

GCD(44, 376) = ( 44 x 376 ) / 4136

= 44 / 376

= 44


So, Greatest Common Divisor of 968, 220, 132, 376 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 968, 220, 132, 376

Given numbers are 968, 220, 132, 376
The greatest common divisor of numbers 968, 220, 132, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 220, 132, 376 is 4.

FAQs on GCD of 968, 220, 132, 376 Calculator

1. What is the GCD of 968, 220, 132, 376?

GCD of given numbers 968, 220, 132, 376 is 4


2. How to calculate the greatest common divisor of 968, 220, 132, 376?

We can find the highest common divisor of 968, 220, 132, 376 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 968, 220, 132, 376 i.e 4.


3. How can I use the GCD of 968, 220, 132, 376Calculator?

Out the numbers 968, 220, 132, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.