Where do I get the detailed procedure to find GCD of 379, 677, 825?

You can find a detailed procedure to find GCD of 379, 677, 825 on our page.

How to find GCD of 379, 677, 825 on a calculator?

You can find the GCD of 379, 677, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 379, 677, 825 Calculator

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

Online GCD Calculator is useful to find the GCD of 379, 677, 825 quickly. Get the easiest ways to solve the greatest common divisor of 379, 677, 825 i.e 1 in different methods as follows.

How to Find GCD of Numbers 379, 677, 825 with Factoring?

Given Input numbers are 379, 677, 825

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

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (379, 677, 825) = 1.

Find GCD of 379, 677, 825 using Prime Factorization

Given numbers are 379, 677, 825

The list of prime factors of all numbers are

Prime factors of 379 are 379

Prime factors of 677 are 677

Prime factors of 825 are 3 x 5 x 5 x 11

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

Steps to Calculate GCD of 379, 677, 825 using LCM Formula

Given numbers are 379, 677, 825

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

Apply this formula for all numbers.

Step1:

LCM(379, 677) = 256583

GCD(379, 677) = ( 379 x 677 ) / 256583

= 379 / 677

= 379

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 379, 677, 825 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 379, 677, 825

Given numbers are 379, 677, 825
The greatest common divisor of numbers 379, 677, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 379, 677, 825 is 1.

FAQs on GCD of 379, 677, 825 Calculator

1. What is the GCD of 379, 677, 825?

GCD of given numbers 379, 677, 825 is 1

2. How to calculate the greatest common divisor of 379, 677, 825?

We can find the highest common divisor of 379, 677, 825 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 379, 677, 825 i.e 1.

3. How can I use the GCD of 379, 677, 825Calculator?

Out the numbers 379, 677, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.