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GCD of 380, 354, 797 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, 354, 797 quickly. Get the easiest ways to solve the greatest common divisor of 380, 354, 797 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 354, 797 with Factoring?

Given Input numbers are 380, 354, 797

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797


GCD of numbers is the greatest common divisor

So, the GCD (380, 354, 797) = 1.

Find GCD of 380, 354, 797 using Prime Factorization

Given numbers are 380, 354, 797

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 797 are 797

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

Steps to Calculate GCD of 380, 354, 797 using LCM Formula

Given numbers are 380, 354, 797

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

Apply this formula for all numbers.

Step1:

LCM(380, 354) = 67260

GCD(380, 354) = ( 380 x 354 ) / 67260

= 380 / 354

= 380


Step2:

LCM(2, 797) = 1594

GCD(2, 797) = ( 2 x 797 ) / 1594

= 2 / 797

= 2


So, Greatest Common Divisor of 380, 354, 797 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 354, 797

Given numbers are 380, 354, 797
The greatest common divisor of numbers 380, 354, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 354, 797 is 1.

FAQs on GCD of 380, 354, 797 Calculator

1. What is the GCD of 380, 354, 797?

GCD of given numbers 380, 354, 797 is 1


2. How to calculate the greatest common divisor of 380, 354, 797?

We can find the highest common divisor of 380, 354, 797 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, 354, 797 i.e 1.


3. How can I use the GCD of 380, 354, 797Calculator?

Out the numbers 380, 354, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.