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GCD of 978, 313, 369 Calculator

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


Online GCD Calculator is useful to find the GCD of 978, 313, 369 quickly. Get the easiest ways to solve the greatest common divisor of 978, 313, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 978, 313, 369 with Factoring?

Given Input numbers are 978, 313, 369

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

Divisors of 978 :

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

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (978, 313, 369) = 1.

Find GCD of 978, 313, 369 using Prime Factorization

Given numbers are 978, 313, 369

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 313 are 313

Prime factors of 369 are 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 978, 313, 369 using LCM Formula

Given numbers are 978, 313, 369

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

Apply this formula for all numbers.

Step1:

LCM(978, 313) = 306114

GCD(978, 313) = ( 978 x 313 ) / 306114

= 978 / 313

= 978


Step2:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


So, Greatest Common Divisor of 978, 313, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 978, 313, 369

Given numbers are 978, 313, 369
The greatest common divisor of numbers 978, 313, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 313, 369 is 1.

FAQs on GCD of 978, 313, 369 Calculator

1. What is the GCD of 978, 313, 369?

GCD of given numbers 978, 313, 369 is 1


2. How to calculate the greatest common divisor of 978, 313, 369?

We can find the highest common divisor of 978, 313, 369 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 978, 313, 369 i.e 1.


3. How can I use the GCD of 978, 313, 369Calculator?

Out the numbers 978, 313, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.