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GCD of 462, 404, 960, 339 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 404, 960, 339 quickly. Get the easiest ways to solve the greatest common divisor of 462, 404, 960, 339 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 404, 960, 339 with Factoring?

Given Input numbers are 462, 404, 960, 339

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339


GCD of numbers is the greatest common divisor

So, the GCD (462, 404, 960, 339) = 1.

Find GCD of 462, 404, 960, 339 using Prime Factorization

Given numbers are 462, 404, 960, 339

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 404 are 2 x 2 x 101

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

Prime factors of 339 are 3 x 113

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

Steps to Calculate GCD of 462, 404, 960, 339 using LCM Formula

Given numbers are 462, 404, 960, 339

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

Apply this formula for all numbers.

Step1:

LCM(462, 404) = 93324

GCD(462, 404) = ( 462 x 404 ) / 93324

= 462 / 404

= 462


Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2


Step3:

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

= 2 / 339

= 2


So, Greatest Common Divisor of 462, 404, 960, 339 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 404, 960, 339

Given numbers are 462, 404, 960, 339
The greatest common divisor of numbers 462, 404, 960, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 404, 960, 339 is 1.

FAQs on GCD of 462, 404, 960, 339 Calculator

1. What is the GCD of 462, 404, 960, 339?

GCD of given numbers 462, 404, 960, 339 is 1


2. How to calculate the greatest common divisor of 462, 404, 960, 339?

We can find the highest common divisor of 462, 404, 960, 339 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 462, 404, 960, 339 i.e 1.


3. How can I use the GCD of 462, 404, 960, 339Calculator?

Out the numbers 462, 404, 960, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.