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GCD of 462, 460, 549, 391 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, 460, 549, 391 quickly. Get the easiest ways to solve the greatest common divisor of 462, 460, 549, 391 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 460, 549, 391 with Factoring?

Given Input numbers are 462, 460, 549, 391

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391


GCD of numbers is the greatest common divisor

So, the GCD (462, 460, 549, 391) = 1.

Find GCD of 462, 460, 549, 391 using Prime Factorization

Given numbers are 462, 460, 549, 391

The list of prime factors of all numbers are

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 549 are 3 x 3 x 61

Prime factors of 391 are 17 x 23

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

Steps to Calculate GCD of 462, 460, 549, 391 using LCM Formula

Given numbers are 462, 460, 549, 391

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

Apply this formula for all numbers.

Step1:

LCM(462, 460) = 106260

GCD(462, 460) = ( 462 x 460 ) / 106260

= 462 / 460

= 462


Step2:

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

= 2 / 549

= 2


Step3:

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

= 1 / 391

= 1


So, Greatest Common Divisor of 462, 460, 549, 391 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 460, 549, 391

Given numbers are 462, 460, 549, 391
The greatest common divisor of numbers 462, 460, 549, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 460, 549, 391 is 1.

FAQs on GCD of 462, 460, 549, 391 Calculator

1. What is the GCD of 462, 460, 549, 391?

GCD of given numbers 462, 460, 549, 391 is 1


2. How to calculate the greatest common divisor of 462, 460, 549, 391?

We can find the highest common divisor of 462, 460, 549, 391 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, 460, 549, 391 i.e 1.


3. How can I use the GCD of 462, 460, 549, 391Calculator?

Out the numbers 462, 460, 549, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.