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GCD of 130, 221, 687, 462 Calculator

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


Online GCD Calculator is useful to find the GCD of 130, 221, 687, 462 quickly. Get the easiest ways to solve the greatest common divisor of 130, 221, 687, 462 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 221, 687, 462 with Factoring?

Given Input numbers are 130, 221, 687, 462

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

Divisors of 130 :

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

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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


GCD of numbers is the greatest common divisor

So, the GCD (130, 221, 687, 462) = 1.

Find GCD of 130, 221, 687, 462 using Prime Factorization

Given numbers are 130, 221, 687, 462

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 221 are 13 x 17

Prime factors of 687 are 3 x 229

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

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

Steps to Calculate GCD of 130, 221, 687, 462 using LCM Formula

Given numbers are 130, 221, 687, 462

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

Apply this formula for all numbers.

Step1:

LCM(130, 221) = 2210

GCD(130, 221) = ( 130 x 221 ) / 2210

= 130 / 221

= 130


Step2:

LCM(13, 687) = 8931

GCD(13, 687) = ( 13 x 687 ) / 8931

= 13 / 687

= 13


Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1


So, Greatest Common Divisor of 130, 221, 687, 462 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 221, 687, 462

Given numbers are 130, 221, 687, 462
The greatest common divisor of numbers 130, 221, 687, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 221, 687, 462 is 1.

FAQs on GCD of 130, 221, 687, 462 Calculator

1. What is the GCD of 130, 221, 687, 462?

GCD of given numbers 130, 221, 687, 462 is 1


2. How to calculate the greatest common divisor of 130, 221, 687, 462?

We can find the highest common divisor of 130, 221, 687, 462 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 130, 221, 687, 462 i.e 1.


3. How can I use the GCD of 130, 221, 687, 462Calculator?

Out the numbers 130, 221, 687, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.