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GCD of 371, 662, 390, 314 Calculator

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


Online GCD Calculator is useful to find the GCD of 371, 662, 390, 314 quickly. Get the easiest ways to solve the greatest common divisor of 371, 662, 390, 314 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 371, 662, 390, 314 with Factoring?

Given Input numbers are 371, 662, 390, 314

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

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314


GCD of numbers is the greatest common divisor

So, the GCD (371, 662, 390, 314) = 1.

Find GCD of 371, 662, 390, 314 using Prime Factorization

Given numbers are 371, 662, 390, 314

The list of prime factors of all numbers are

Prime factors of 371 are 7 x 53

Prime factors of 662 are 2 x 331

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

Prime factors of 314 are 2 x 157

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

Steps to Calculate GCD of 371, 662, 390, 314 using LCM Formula

Given numbers are 371, 662, 390, 314

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

Apply this formula for all numbers.

Step1:

LCM(371, 662) = 245602

GCD(371, 662) = ( 371 x 662 ) / 245602

= 371 / 662

= 371


Step2:

LCM(1, 390) = 390

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

= 1 / 390

= 1


Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1


So, Greatest Common Divisor of 371, 662, 390, 314 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 371, 662, 390, 314

Given numbers are 371, 662, 390, 314
The greatest common divisor of numbers 371, 662, 390, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 662, 390, 314 is 1.

FAQs on GCD of 371, 662, 390, 314 Calculator

1. What is the GCD of 371, 662, 390, 314?

GCD of given numbers 371, 662, 390, 314 is 1


2. How to calculate the greatest common divisor of 371, 662, 390, 314?

We can find the highest common divisor of 371, 662, 390, 314 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 371, 662, 390, 314 i.e 1.


3. How can I use the GCD of 371, 662, 390, 314Calculator?

Out the numbers 371, 662, 390, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.