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GCD of 380, 138, 325, 653 Calculator

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


Online GCD Calculator is useful to find the GCD of 380, 138, 325, 653 quickly. Get the easiest ways to solve the greatest common divisor of 380, 138, 325, 653 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 138, 325, 653 with Factoring?

Given Input numbers are 380, 138, 325, 653

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653


GCD of numbers is the greatest common divisor

So, the GCD (380, 138, 325, 653) = 1.

Find GCD of 380, 138, 325, 653 using Prime Factorization

Given numbers are 380, 138, 325, 653

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 325 are 5 x 5 x 13

Prime factors of 653 are 653

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

Steps to Calculate GCD of 380, 138, 325, 653 using LCM Formula

Given numbers are 380, 138, 325, 653

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

Apply this formula for all numbers.

Step1:

LCM(380, 138) = 26220

GCD(380, 138) = ( 380 x 138 ) / 26220

= 380 / 138

= 380


Step2:

LCM(2, 325) = 650

GCD(2, 325) = ( 2 x 325 ) / 650

= 2 / 325

= 2


Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1


So, Greatest Common Divisor of 380, 138, 325, 653 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 138, 325, 653

Given numbers are 380, 138, 325, 653
The greatest common divisor of numbers 380, 138, 325, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 138, 325, 653 is 1.

FAQs on GCD of 380, 138, 325, 653 Calculator

1. What is the GCD of 380, 138, 325, 653?

GCD of given numbers 380, 138, 325, 653 is 1


2. How to calculate the greatest common divisor of 380, 138, 325, 653?

We can find the highest common divisor of 380, 138, 325, 653 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 380, 138, 325, 653 i.e 1.


3. How can I use the GCD of 380, 138, 325, 653Calculator?

Out the numbers 380, 138, 325, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.