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GCD of 960, 310, 831, 369 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 310, 831, 369 quickly. Get the easiest ways to solve the greatest common divisor of 960, 310, 831, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 310, 831, 369 with Factoring?

Given Input numbers are 960, 310, 831, 369

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 310 :

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

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (960, 310, 831, 369) = 1.

Find GCD of 960, 310, 831, 369 using Prime Factorization

Given numbers are 960, 310, 831, 369

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 310 are 2 x 5 x 31

Prime factors of 831 are 3 x 277

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 960, 310, 831, 369 using LCM Formula

Given numbers are 960, 310, 831, 369

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

Apply this formula for all numbers.

Step1:

LCM(960, 310) = 29760

GCD(960, 310) = ( 960 x 310 ) / 29760

= 960 / 310

= 960


Step2:

LCM(10, 831) = 8310

GCD(10, 831) = ( 10 x 831 ) / 8310

= 10 / 831

= 10


Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


So, Greatest Common Divisor of 960, 310, 831, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 310, 831, 369

Given numbers are 960, 310, 831, 369
The greatest common divisor of numbers 960, 310, 831, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 310, 831, 369 is 1.

FAQs on GCD of 960, 310, 831, 369 Calculator

1. What is the GCD of 960, 310, 831, 369?

GCD of given numbers 960, 310, 831, 369 is 1


2. How to calculate the greatest common divisor of 960, 310, 831, 369?

We can find the highest common divisor of 960, 310, 831, 369 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 960, 310, 831, 369 i.e 1.


3. How can I use the GCD of 960, 310, 831, 369Calculator?

Out the numbers 960, 310, 831, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.