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GCD of 939, 120, 978 Calculator

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


Online GCD Calculator is useful to find the GCD of 939, 120, 978 quickly. Get the easiest ways to solve the greatest common divisor of 939, 120, 978 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 939, 120, 978 with Factoring?

Given Input numbers are 939, 120, 978

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

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978


GCD of numbers is the greatest common divisor

So, the GCD (939, 120, 978) = 3.

Find GCD of 939, 120, 978 using Prime Factorization

Given numbers are 939, 120, 978

The list of prime factors of all numbers are

Prime factors of 939 are 3 x 313

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 31

Therefore, GCD of 939, 120, 978 is 3.

Steps to Calculate GCD of 939, 120, 978 using LCM Formula

Given numbers are 939, 120, 978

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

Apply this formula for all numbers.

Step1:

LCM(939, 120) = 37560

GCD(939, 120) = ( 939 x 120 ) / 37560

= 939 / 120

= 939


Step2:

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

= 3 / 978

= 3


So, Greatest Common Divisor of 939, 120, 978 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 939, 120, 978

Given numbers are 939, 120, 978
The greatest common divisor of numbers 939, 120, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 939, 120, 978 is 3.

FAQs on GCD of 939, 120, 978 Calculator

1. What is the GCD of 939, 120, 978?

GCD of given numbers 939, 120, 978 is 3


2. How to calculate the greatest common divisor of 939, 120, 978?

We can find the highest common divisor of 939, 120, 978 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 939, 120, 978 i.e 3.


3. How can I use the GCD of 939, 120, 978Calculator?

Out the numbers 939, 120, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.