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GCD of 984, 992, 368, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 992, 368, 672 quickly. Get the easiest ways to solve the greatest common divisor of 984, 992, 368, 672 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 992, 368, 672 with Factoring?

Given Input numbers are 984, 992, 368, 672

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (984, 992, 368, 672) = 8.

Find GCD of 984, 992, 368, 672 using Prime Factorization

Given numbers are 984, 992, 368, 672

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 23

Therefore, GCD of 984, 992, 368, 672 is 8.

Steps to Calculate GCD of 984, 992, 368, 672 using LCM Formula

Given numbers are 984, 992, 368, 672

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

Apply this formula for all numbers.

Step1:

LCM(984, 992) = 122016

GCD(984, 992) = ( 984 x 992 ) / 122016

= 984 / 992

= 984


Step2:

LCM(8, 368) = 368

GCD(8, 368) = ( 8 x 368 ) / 368

= 8 / 368

= 8


Step3:

LCM(8, 672) = 672

GCD(8, 672) = ( 8 x 672 ) / 672

= 8 / 672

= 8


So, Greatest Common Divisor of 984, 992, 368, 672 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 992, 368, 672

Given numbers are 984, 992, 368, 672
The greatest common divisor of numbers 984, 992, 368, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 992, 368, 672 is 8.

FAQs on GCD of 984, 992, 368, 672 Calculator

1. What is the GCD of 984, 992, 368, 672?

GCD of given numbers 984, 992, 368, 672 is 8


2. How to calculate the greatest common divisor of 984, 992, 368, 672?

We can find the highest common divisor of 984, 992, 368, 672 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 984, 992, 368, 672 i.e 8.


3. How can I use the GCD of 984, 992, 368, 672Calculator?

Out the numbers 984, 992, 368, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.