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GCD of 966, 792, 150, 876 Calculator

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


Online GCD Calculator is useful to find the GCD of 966, 792, 150, 876 quickly. Get the easiest ways to solve the greatest common divisor of 966, 792, 150, 876 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 792, 150, 876 with Factoring?

Given Input numbers are 966, 792, 150, 876

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876


GCD of numbers is the greatest common divisor

So, the GCD (966, 792, 150, 876) = 6.

Find GCD of 966, 792, 150, 876 using Prime Factorization

Given numbers are 966, 792, 150, 876

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 21 x 31

Therefore, GCD of 966, 792, 150, 876 is 6.

Steps to Calculate GCD of 966, 792, 150, 876 using LCM Formula

Given numbers are 966, 792, 150, 876

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

Apply this formula for all numbers.

Step1:

LCM(966, 792) = 127512

GCD(966, 792) = ( 966 x 792 ) / 127512

= 966 / 792

= 966


Step2:

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

= 6 / 150

= 6


Step3:

LCM(6, 876) = 876

GCD(6, 876) = ( 6 x 876 ) / 876

= 6 / 876

= 6


So, Greatest Common Divisor of 966, 792, 150, 876 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 792, 150, 876

Given numbers are 966, 792, 150, 876
The greatest common divisor of numbers 966, 792, 150, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 792, 150, 876 is 6.

FAQs on GCD of 966, 792, 150, 876 Calculator

1. What is the GCD of 966, 792, 150, 876?

GCD of given numbers 966, 792, 150, 876 is 6


2. How to calculate the greatest common divisor of 966, 792, 150, 876?

We can find the highest common divisor of 966, 792, 150, 876 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 966, 792, 150, 876 i.e 6.


3. How can I use the GCD of 966, 792, 150, 876Calculator?

Out the numbers 966, 792, 150, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.