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GCD of 756, 120, 332, 666 Calculator

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


Online GCD Calculator is useful to find the GCD of 756, 120, 332, 666 quickly. Get the easiest ways to solve the greatest common divisor of 756, 120, 332, 666 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 756, 120, 332, 666 with Factoring?

Given Input numbers are 756, 120, 332, 666

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666


GCD of numbers is the greatest common divisor

So, the GCD (756, 120, 332, 666) = 2.

Find GCD of 756, 120, 332, 666 using Prime Factorization

Given numbers are 756, 120, 332, 666

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 332 are 2 x 2 x 83

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 756, 120, 332, 666 is 2.

Steps to Calculate GCD of 756, 120, 332, 666 using LCM Formula

Given numbers are 756, 120, 332, 666

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

Apply this formula for all numbers.

Step1:

LCM(756, 120) = 7560

GCD(756, 120) = ( 756 x 120 ) / 7560

= 756 / 120

= 756


Step2:

LCM(12, 332) = 996

GCD(12, 332) = ( 12 x 332 ) / 996

= 12 / 332

= 12


Step3:

LCM(4, 666) = 1332

GCD(4, 666) = ( 4 x 666 ) / 1332

= 4 / 666

= 4


So, Greatest Common Divisor of 756, 120, 332, 666 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 756, 120, 332, 666

Given numbers are 756, 120, 332, 666
The greatest common divisor of numbers 756, 120, 332, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 120, 332, 666 is 2.

FAQs on GCD of 756, 120, 332, 666 Calculator

1. What is the GCD of 756, 120, 332, 666?

GCD of given numbers 756, 120, 332, 666 is 2


2. How to calculate the greatest common divisor of 756, 120, 332, 666?

We can find the highest common divisor of 756, 120, 332, 666 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 756, 120, 332, 666 i.e 2.


3. How can I use the GCD of 756, 120, 332, 666Calculator?

Out the numbers 756, 120, 332, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.