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GCD of 460, 920, 131, 451 Calculator

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


Online GCD Calculator is useful to find the GCD of 460, 920, 131, 451 quickly. Get the easiest ways to solve the greatest common divisor of 460, 920, 131, 451 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 460, 920, 131, 451 with Factoring?

Given Input numbers are 460, 920, 131, 451

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

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 451 :

The positive integer divisors of 451 that completely divides 451 are.

1, 11, 41, 451


GCD of numbers is the greatest common divisor

So, the GCD (460, 920, 131, 451) = 1.

Find GCD of 460, 920, 131, 451 using Prime Factorization

Given numbers are 460, 920, 131, 451

The list of prime factors of all numbers are

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 131 are 131

Prime factors of 451 are 11 x 41

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

Steps to Calculate GCD of 460, 920, 131, 451 using LCM Formula

Given numbers are 460, 920, 131, 451

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

Apply this formula for all numbers.

Step1:

LCM(460, 920) = 920

GCD(460, 920) = ( 460 x 920 ) / 920

= 460 / 920

= 460


Step2:

LCM(460, 131) = 60260

GCD(460, 131) = ( 460 x 131 ) / 60260

= 460 / 131

= 460


Step3:

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

= 1 / 451

= 1


So, Greatest Common Divisor of 460, 920, 131, 451 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 460, 920, 131, 451

Given numbers are 460, 920, 131, 451
The greatest common divisor of numbers 460, 920, 131, 451 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 920, 131, 451 is 1.

FAQs on GCD of 460, 920, 131, 451 Calculator

1. What is the GCD of 460, 920, 131, 451?

GCD of given numbers 460, 920, 131, 451 is 1


2. How to calculate the greatest common divisor of 460, 920, 131, 451?

We can find the highest common divisor of 460, 920, 131, 451 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 460, 920, 131, 451 i.e 1.


3. How can I use the GCD of 460, 920, 131, 451Calculator?

Out the numbers 460, 920, 131, 451 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.