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GCD of 462, 906, 968, 431 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, 906, 968, 431 quickly. Get the easiest ways to solve the greatest common divisor of 462, 906, 968, 431 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 906, 968, 431 with Factoring?

Given Input numbers are 462, 906, 968, 431

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431


GCD of numbers is the greatest common divisor

So, the GCD (462, 906, 968, 431) = 1.

Find GCD of 462, 906, 968, 431 using Prime Factorization

Given numbers are 462, 906, 968, 431

The list of prime factors of all numbers are

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

Prime factors of 906 are 2 x 3 x 151

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 431 are 431

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

Steps to Calculate GCD of 462, 906, 968, 431 using LCM Formula

Given numbers are 462, 906, 968, 431

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

Apply this formula for all numbers.

Step1:

LCM(462, 906) = 69762

GCD(462, 906) = ( 462 x 906 ) / 69762

= 462 / 906

= 462


Step2:

LCM(6, 968) = 2904

GCD(6, 968) = ( 6 x 968 ) / 2904

= 6 / 968

= 6


Step3:

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

= 2 / 431

= 2


So, Greatest Common Divisor of 462, 906, 968, 431 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 906, 968, 431

Given numbers are 462, 906, 968, 431
The greatest common divisor of numbers 462, 906, 968, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 906, 968, 431 is 1.

FAQs on GCD of 462, 906, 968, 431 Calculator

1. What is the GCD of 462, 906, 968, 431?

GCD of given numbers 462, 906, 968, 431 is 1


2. How to calculate the greatest common divisor of 462, 906, 968, 431?

We can find the highest common divisor of 462, 906, 968, 431 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, 906, 968, 431 i.e 1.


3. How can I use the GCD of 462, 906, 968, 431Calculator?

Out the numbers 462, 906, 968, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.