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GCD of 990, 976, 360, 736 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 976, 360, 736 quickly. Get the easiest ways to solve the greatest common divisor of 990, 976, 360, 736 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 976, 360, 736 with Factoring?

Given Input numbers are 990, 976, 360, 736

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736


GCD of numbers is the greatest common divisor

So, the GCD (990, 976, 360, 736) = 2.

Find GCD of 990, 976, 360, 736 using Prime Factorization

Given numbers are 990, 976, 360, 736

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 21

Therefore, GCD of 990, 976, 360, 736 is 2.

Steps to Calculate GCD of 990, 976, 360, 736 using LCM Formula

Given numbers are 990, 976, 360, 736

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

Apply this formula for all numbers.

Step1:

LCM(990, 976) = 483120

GCD(990, 976) = ( 990 x 976 ) / 483120

= 990 / 976

= 990


Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2


Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2


So, Greatest Common Divisor of 990, 976, 360, 736 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 976, 360, 736

Given numbers are 990, 976, 360, 736
The greatest common divisor of numbers 990, 976, 360, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 976, 360, 736 is 2.

FAQs on GCD of 990, 976, 360, 736 Calculator

1. What is the GCD of 990, 976, 360, 736?

GCD of given numbers 990, 976, 360, 736 is 2


2. How to calculate the greatest common divisor of 990, 976, 360, 736?

We can find the highest common divisor of 990, 976, 360, 736 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 990, 976, 360, 736 i.e 2.


3. How can I use the GCD of 990, 976, 360, 736Calculator?

Out the numbers 990, 976, 360, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.