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GCD of 984, 120, 140, 908 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, 120, 140, 908 quickly. Get the easiest ways to solve the greatest common divisor of 984, 120, 140, 908 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 120, 140, 908 with Factoring?

Given Input numbers are 984, 120, 140, 908

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (984, 120, 140, 908) = 4.

Find GCD of 984, 120, 140, 908 using Prime Factorization

Given numbers are 984, 120, 140, 908

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 22

Therefore, GCD of 984, 120, 140, 908 is 4.

Steps to Calculate GCD of 984, 120, 140, 908 using LCM Formula

Given numbers are 984, 120, 140, 908

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

Apply this formula for all numbers.

Step1:

LCM(984, 120) = 4920

GCD(984, 120) = ( 984 x 120 ) / 4920

= 984 / 120

= 984


Step2:

LCM(24, 140) = 840

GCD(24, 140) = ( 24 x 140 ) / 840

= 24 / 140

= 24


Step3:

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

= 4 / 908

= 4


So, Greatest Common Divisor of 984, 120, 140, 908 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 120, 140, 908

Given numbers are 984, 120, 140, 908
The greatest common divisor of numbers 984, 120, 140, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 120, 140, 908 is 4.

FAQs on GCD of 984, 120, 140, 908 Calculator

1. What is the GCD of 984, 120, 140, 908?

GCD of given numbers 984, 120, 140, 908 is 4


2. How to calculate the greatest common divisor of 984, 120, 140, 908?

We can find the highest common divisor of 984, 120, 140, 908 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, 120, 140, 908 i.e 4.


3. How can I use the GCD of 984, 120, 140, 908Calculator?

Out the numbers 984, 120, 140, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.