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GCD of 310, 142, 586, 427 Calculator

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


Online GCD Calculator is useful to find the GCD of 310, 142, 586, 427 quickly. Get the easiest ways to solve the greatest common divisor of 310, 142, 586, 427 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 310, 142, 586, 427 with Factoring?

Given Input numbers are 310, 142, 586, 427

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427


GCD of numbers is the greatest common divisor

So, the GCD (310, 142, 586, 427) = 1.

Find GCD of 310, 142, 586, 427 using Prime Factorization

Given numbers are 310, 142, 586, 427

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 142 are 2 x 71

Prime factors of 586 are 2 x 293

Prime factors of 427 are 7 x 61

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

Steps to Calculate GCD of 310, 142, 586, 427 using LCM Formula

Given numbers are 310, 142, 586, 427

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

Apply this formula for all numbers.

Step1:

LCM(310, 142) = 22010

GCD(310, 142) = ( 310 x 142 ) / 22010

= 310 / 142

= 310


Step2:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2


Step3:

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

= 2 / 427

= 2


So, Greatest Common Divisor of 310, 142, 586, 427 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 310, 142, 586, 427

Given numbers are 310, 142, 586, 427
The greatest common divisor of numbers 310, 142, 586, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 142, 586, 427 is 1.

FAQs on GCD of 310, 142, 586, 427 Calculator

1. What is the GCD of 310, 142, 586, 427?

GCD of given numbers 310, 142, 586, 427 is 1


2. How to calculate the greatest common divisor of 310, 142, 586, 427?

We can find the highest common divisor of 310, 142, 586, 427 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 310, 142, 586, 427 i.e 1.


3. How can I use the GCD of 310, 142, 586, 427Calculator?

Out the numbers 310, 142, 586, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.