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GCD of 992, 620, 276, 916 Calculator

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


Online GCD Calculator is useful to find the GCD of 992, 620, 276, 916 quickly. Get the easiest ways to solve the greatest common divisor of 992, 620, 276, 916 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 992, 620, 276, 916 with Factoring?

Given Input numbers are 992, 620, 276, 916

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916


GCD of numbers is the greatest common divisor

So, the GCD (992, 620, 276, 916) = 4.

Find GCD of 992, 620, 276, 916 using Prime Factorization

Given numbers are 992, 620, 276, 916

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 22

Therefore, GCD of 992, 620, 276, 916 is 4.

Steps to Calculate GCD of 992, 620, 276, 916 using LCM Formula

Given numbers are 992, 620, 276, 916

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

Apply this formula for all numbers.

Step1:

LCM(992, 620) = 4960

GCD(992, 620) = ( 992 x 620 ) / 4960

= 992 / 620

= 992


Step2:

LCM(124, 276) = 8556

GCD(124, 276) = ( 124 x 276 ) / 8556

= 124 / 276

= 124


Step3:

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

= 4 / 916

= 4


So, Greatest Common Divisor of 992, 620, 276, 916 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 992, 620, 276, 916

Given numbers are 992, 620, 276, 916
The greatest common divisor of numbers 992, 620, 276, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 620, 276, 916 is 4.

FAQs on GCD of 992, 620, 276, 916 Calculator

1. What is the GCD of 992, 620, 276, 916?

GCD of given numbers 992, 620, 276, 916 is 4


2. How to calculate the greatest common divisor of 992, 620, 276, 916?

We can find the highest common divisor of 992, 620, 276, 916 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 992, 620, 276, 916 i.e 4.


3. How can I use the GCD of 992, 620, 276, 916Calculator?

Out the numbers 992, 620, 276, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.