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GCD of 380, 763, 317, 274 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, 763, 317, 274 quickly. Get the easiest ways to solve the greatest common divisor of 380, 763, 317, 274 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 763, 317, 274 with Factoring?

Given Input numbers are 380, 763, 317, 274

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 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274


GCD of numbers is the greatest common divisor

So, the GCD (380, 763, 317, 274) = 1.

Find GCD of 380, 763, 317, 274 using Prime Factorization

Given numbers are 380, 763, 317, 274

The list of prime factors of all numbers are

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

Prime factors of 763 are 7 x 109

Prime factors of 317 are 317

Prime factors of 274 are 2 x 137

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

Steps to Calculate GCD of 380, 763, 317, 274 using LCM Formula

Given numbers are 380, 763, 317, 274

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

Apply this formula for all numbers.

Step1:

LCM(380, 763) = 289940

GCD(380, 763) = ( 380 x 763 ) / 289940

= 380 / 763

= 380


Step2:

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

= 1 / 317

= 1


Step3:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1


So, Greatest Common Divisor of 380, 763, 317, 274 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 763, 317, 274

Given numbers are 380, 763, 317, 274
The greatest common divisor of numbers 380, 763, 317, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 763, 317, 274 is 1.

FAQs on GCD of 380, 763, 317, 274 Calculator

1. What is the GCD of 380, 763, 317, 274?

GCD of given numbers 380, 763, 317, 274 is 1


2. How to calculate the greatest common divisor of 380, 763, 317, 274?

We can find the highest common divisor of 380, 763, 317, 274 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, 763, 317, 274 i.e 1.


3. How can I use the GCD of 380, 763, 317, 274Calculator?

Out the numbers 380, 763, 317, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.