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GCD of 310, 464, 160, 131 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, 464, 160, 131 quickly. Get the easiest ways to solve the greatest common divisor of 310, 464, 160, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 310, 464, 160, 131 with Factoring?

Given Input numbers are 310, 464, 160, 131

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131


GCD of numbers is the greatest common divisor

So, the GCD (310, 464, 160, 131) = 1.

Find GCD of 310, 464, 160, 131 using Prime Factorization

Given numbers are 310, 464, 160, 131

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 131 are 131

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

Steps to Calculate GCD of 310, 464, 160, 131 using LCM Formula

Given numbers are 310, 464, 160, 131

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

Apply this formula for all numbers.

Step1:

LCM(310, 464) = 71920

GCD(310, 464) = ( 310 x 464 ) / 71920

= 310 / 464

= 310


Step2:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2


Step3:

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

= 2 / 131

= 2


So, Greatest Common Divisor of 310, 464, 160, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 310, 464, 160, 131

Given numbers are 310, 464, 160, 131
The greatest common divisor of numbers 310, 464, 160, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 464, 160, 131 is 1.

FAQs on GCD of 310, 464, 160, 131 Calculator

1. What is the GCD of 310, 464, 160, 131?

GCD of given numbers 310, 464, 160, 131 is 1


2. How to calculate the greatest common divisor of 310, 464, 160, 131?

We can find the highest common divisor of 310, 464, 160, 131 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, 464, 160, 131 i.e 1.


3. How can I use the GCD of 310, 464, 160, 131Calculator?

Out the numbers 310, 464, 160, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.