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GCD of 130, 384, 351, 340 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, 384, 351, 340 quickly. Get the easiest ways to solve the greatest common divisor of 130, 384, 351, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 384, 351, 340 with Factoring?

Given Input numbers are 130, 384, 351, 340

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (130, 384, 351, 340) = 1.

Find GCD of 130, 384, 351, 340 using Prime Factorization

Given numbers are 130, 384, 351, 340

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 340 are 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 130, 384, 351, 340 using LCM Formula

Given numbers are 130, 384, 351, 340

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

Apply this formula for all numbers.

Step1:

LCM(130, 384) = 24960

GCD(130, 384) = ( 130 x 384 ) / 24960

= 130 / 384

= 130


Step2:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2


Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1


So, Greatest Common Divisor of 130, 384, 351, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 384, 351, 340

Given numbers are 130, 384, 351, 340
The greatest common divisor of numbers 130, 384, 351, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 384, 351, 340 is 1.

FAQs on GCD of 130, 384, 351, 340 Calculator

1. What is the GCD of 130, 384, 351, 340?

GCD of given numbers 130, 384, 351, 340 is 1


2. How to calculate the greatest common divisor of 130, 384, 351, 340?

We can find the highest common divisor of 130, 384, 351, 340 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, 384, 351, 340 i.e 1.


3. How can I use the GCD of 130, 384, 351, 340Calculator?

Out the numbers 130, 384, 351, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.