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GCD of 457, 431, 338, 130 Calculator

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


Online GCD Calculator is useful to find the GCD of 457, 431, 338, 130 quickly. Get the easiest ways to solve the greatest common divisor of 457, 431, 338, 130 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 457, 431, 338, 130 with Factoring?

Given Input numbers are 457, 431, 338, 130

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

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 431 :

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

1, 431

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130


GCD of numbers is the greatest common divisor

So, the GCD (457, 431, 338, 130) = 1.

Find GCD of 457, 431, 338, 130 using Prime Factorization

Given numbers are 457, 431, 338, 130

The list of prime factors of all numbers are

Prime factors of 457 are 457

Prime factors of 431 are 431

Prime factors of 338 are 2 x 13 x 13

Prime factors of 130 are 2 x 5 x 13

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

Steps to Calculate GCD of 457, 431, 338, 130 using LCM Formula

Given numbers are 457, 431, 338, 130

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

Apply this formula for all numbers.

Step1:

LCM(457, 431) = 196967

GCD(457, 431) = ( 457 x 431 ) / 196967

= 457 / 431

= 457


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

= 1 / 130

= 1


So, Greatest Common Divisor of 457, 431, 338, 130 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 457, 431, 338, 130

Given numbers are 457, 431, 338, 130
The greatest common divisor of numbers 457, 431, 338, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 457, 431, 338, 130 is 1.

FAQs on GCD of 457, 431, 338, 130 Calculator

1. What is the GCD of 457, 431, 338, 130?

GCD of given numbers 457, 431, 338, 130 is 1


2. How to calculate the greatest common divisor of 457, 431, 338, 130?

We can find the highest common divisor of 457, 431, 338, 130 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 457, 431, 338, 130 i.e 1.


3. How can I use the GCD of 457, 431, 338, 130Calculator?

Out the numbers 457, 431, 338, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.