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GCD of 481, 654, 460, 198 Calculator

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


Online GCD Calculator is useful to find the GCD of 481, 654, 460, 198 quickly. Get the easiest ways to solve the greatest common divisor of 481, 654, 460, 198 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 481, 654, 460, 198 with Factoring?

Given Input numbers are 481, 654, 460, 198

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

Divisors of 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198


GCD of numbers is the greatest common divisor

So, the GCD (481, 654, 460, 198) = 1.

Find GCD of 481, 654, 460, 198 using Prime Factorization

Given numbers are 481, 654, 460, 198

The list of prime factors of all numbers are

Prime factors of 481 are 13 x 37

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 198 are 2 x 3 x 3 x 11

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

Steps to Calculate GCD of 481, 654, 460, 198 using LCM Formula

Given numbers are 481, 654, 460, 198

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

Apply this formula for all numbers.

Step1:

LCM(481, 654) = 314574

GCD(481, 654) = ( 481 x 654 ) / 314574

= 481 / 654

= 481


Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1


Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


So, Greatest Common Divisor of 481, 654, 460, 198 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 481, 654, 460, 198

Given numbers are 481, 654, 460, 198
The greatest common divisor of numbers 481, 654, 460, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 481, 654, 460, 198 is 1.

FAQs on GCD of 481, 654, 460, 198 Calculator

1. What is the GCD of 481, 654, 460, 198?

GCD of given numbers 481, 654, 460, 198 is 1


2. How to calculate the greatest common divisor of 481, 654, 460, 198?

We can find the highest common divisor of 481, 654, 460, 198 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 481, 654, 460, 198 i.e 1.


3. How can I use the GCD of 481, 654, 460, 198Calculator?

Out the numbers 481, 654, 460, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.