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GCD of 316, 608, 954, 390 Calculator

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


Online GCD Calculator is useful to find the GCD of 316, 608, 954, 390 quickly. Get the easiest ways to solve the greatest common divisor of 316, 608, 954, 390 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 608, 954, 390 with Factoring?

Given Input numbers are 316, 608, 954, 390

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390


GCD of numbers is the greatest common divisor

So, the GCD (316, 608, 954, 390) = 2.

Find GCD of 316, 608, 954, 390 using Prime Factorization

Given numbers are 316, 608, 954, 390

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 316, 608, 954, 390 is 2.

Steps to Calculate GCD of 316, 608, 954, 390 using LCM Formula

Given numbers are 316, 608, 954, 390

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

Apply this formula for all numbers.

Step1:

LCM(316, 608) = 48032

GCD(316, 608) = ( 316 x 608 ) / 48032

= 316 / 608

= 316


Step2:

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

= 4 / 954

= 4


Step3:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2


So, Greatest Common Divisor of 316, 608, 954, 390 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 608, 954, 390

Given numbers are 316, 608, 954, 390
The greatest common divisor of numbers 316, 608, 954, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 608, 954, 390 is 2.

FAQs on GCD of 316, 608, 954, 390 Calculator

1. What is the GCD of 316, 608, 954, 390?

GCD of given numbers 316, 608, 954, 390 is 2


2. How to calculate the greatest common divisor of 316, 608, 954, 390?

We can find the highest common divisor of 316, 608, 954, 390 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 316, 608, 954, 390 i.e 2.


3. How can I use the GCD of 316, 608, 954, 390Calculator?

Out the numbers 316, 608, 954, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.