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GCD of 214, 563, 427, 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 214, 563, 427, 130 quickly. Get the easiest ways to solve the greatest common divisor of 214, 563, 427, 130 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 214, 563, 427, 130 with Factoring?

Given Input numbers are 214, 563, 427, 130

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

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 (214, 563, 427, 130) = 1.

Find GCD of 214, 563, 427, 130 using Prime Factorization

Given numbers are 214, 563, 427, 130

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 563 are 563

Prime factors of 427 are 7 x 61

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 214, 563, 427, 130 using LCM Formula

Given numbers are 214, 563, 427, 130

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

Apply this formula for all numbers.

Step1:

LCM(214, 563) = 120482

GCD(214, 563) = ( 214 x 563 ) / 120482

= 214 / 563

= 214


Step2:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1


Step3:

LCM(1, 130) = 130

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

= 1 / 130

= 1


So, Greatest Common Divisor of 214, 563, 427, 130 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 214, 563, 427, 130

Given numbers are 214, 563, 427, 130
The greatest common divisor of numbers 214, 563, 427, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 563, 427, 130 is 1.

FAQs on GCD of 214, 563, 427, 130 Calculator

1. What is the GCD of 214, 563, 427, 130?

GCD of given numbers 214, 563, 427, 130 is 1


2. How to calculate the greatest common divisor of 214, 563, 427, 130?

We can find the highest common divisor of 214, 563, 427, 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 214, 563, 427, 130 i.e 1.


3. How can I use the GCD of 214, 563, 427, 130Calculator?

Out the numbers 214, 563, 427, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.