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GCD of 402, 516, 313, 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 402, 516, 313, 390 quickly. Get the easiest ways to solve the greatest common divisor of 402, 516, 313, 390 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 402, 516, 313, 390 with Factoring?

Given Input numbers are 402, 516, 313, 390

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 313 :

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

1, 313

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 (402, 516, 313, 390) = 1.

Find GCD of 402, 516, 313, 390 using Prime Factorization

Given numbers are 402, 516, 313, 390

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 313 are 313

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

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

Steps to Calculate GCD of 402, 516, 313, 390 using LCM Formula

Given numbers are 402, 516, 313, 390

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

Apply this formula for all numbers.

Step1:

LCM(402, 516) = 34572

GCD(402, 516) = ( 402 x 516 ) / 34572

= 402 / 516

= 402


Step2:

LCM(6, 313) = 1878

GCD(6, 313) = ( 6 x 313 ) / 1878

= 6 / 313

= 6


Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1


So, Greatest Common Divisor of 402, 516, 313, 390 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 402, 516, 313, 390

Given numbers are 402, 516, 313, 390
The greatest common divisor of numbers 402, 516, 313, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 516, 313, 390 is 1.

FAQs on GCD of 402, 516, 313, 390 Calculator

1. What is the GCD of 402, 516, 313, 390?

GCD of given numbers 402, 516, 313, 390 is 1


2. How to calculate the greatest common divisor of 402, 516, 313, 390?

We can find the highest common divisor of 402, 516, 313, 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 402, 516, 313, 390 i.e 1.


3. How can I use the GCD of 402, 516, 313, 390Calculator?

Out the numbers 402, 516, 313, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.