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GCD of 380, 243, 374, 421 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, 243, 374, 421 quickly. Get the easiest ways to solve the greatest common divisor of 380, 243, 374, 421 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 243, 374, 421 with Factoring?

Given Input numbers are 380, 243, 374, 421

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 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421


GCD of numbers is the greatest common divisor

So, the GCD (380, 243, 374, 421) = 1.

Find GCD of 380, 243, 374, 421 using Prime Factorization

Given numbers are 380, 243, 374, 421

The list of prime factors of all numbers are

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

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 374 are 2 x 11 x 17

Prime factors of 421 are 421

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

Steps to Calculate GCD of 380, 243, 374, 421 using LCM Formula

Given numbers are 380, 243, 374, 421

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

Apply this formula for all numbers.

Step1:

LCM(380, 243) = 92340

GCD(380, 243) = ( 380 x 243 ) / 92340

= 380 / 243

= 380


Step2:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1


Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1


So, Greatest Common Divisor of 380, 243, 374, 421 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 243, 374, 421

Given numbers are 380, 243, 374, 421
The greatest common divisor of numbers 380, 243, 374, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 243, 374, 421 is 1.

FAQs on GCD of 380, 243, 374, 421 Calculator

1. What is the GCD of 380, 243, 374, 421?

GCD of given numbers 380, 243, 374, 421 is 1


2. How to calculate the greatest common divisor of 380, 243, 374, 421?

We can find the highest common divisor of 380, 243, 374, 421 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, 243, 374, 421 i.e 1.


3. How can I use the GCD of 380, 243, 374, 421Calculator?

Out the numbers 380, 243, 374, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.