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GCD of 960, 928, 988, 966 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 928, 988, 966 quickly. Get the easiest ways to solve the greatest common divisor of 960, 928, 988, 966 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 928, 988, 966 with Factoring?

Given Input numbers are 960, 928, 988, 966

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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


GCD of numbers is the greatest common divisor

So, the GCD (960, 928, 988, 966) = 2.

Find GCD of 960, 928, 988, 966 using Prime Factorization

Given numbers are 960, 928, 988, 966

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 988 are 2 x 2 x 13 x 19

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

The highest common occurrence is 21

Therefore, GCD of 960, 928, 988, 966 is 2.

Steps to Calculate GCD of 960, 928, 988, 966 using LCM Formula

Given numbers are 960, 928, 988, 966

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

Apply this formula for all numbers.

Step1:

LCM(960, 928) = 27840

GCD(960, 928) = ( 960 x 928 ) / 27840

= 960 / 928

= 960


Step2:

LCM(32, 988) = 7904

GCD(32, 988) = ( 32 x 988 ) / 7904

= 32 / 988

= 32


Step3:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4


So, Greatest Common Divisor of 960, 928, 988, 966 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 928, 988, 966

Given numbers are 960, 928, 988, 966
The greatest common divisor of numbers 960, 928, 988, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 928, 988, 966 is 2.

FAQs on GCD of 960, 928, 988, 966 Calculator

1. What is the GCD of 960, 928, 988, 966?

GCD of given numbers 960, 928, 988, 966 is 2


2. How to calculate the greatest common divisor of 960, 928, 988, 966?

We can find the highest common divisor of 960, 928, 988, 966 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 960, 928, 988, 966 i.e 2.


3. How can I use the GCD of 960, 928, 988, 966Calculator?

Out the numbers 960, 928, 988, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.