GCD of 345, 747, 878 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 345, 747, 878 i.e. 1 largest integer that divides all the numbers equally.

GCD of 345, 747, 878 is 1

GCD(345, 747, 878) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 345, 747, 878 is 1

GCD(345, 747, 878) = 1

GCD of 345,747,878 Calculator

GCDof 345,747,878 is 1

Given Input numbers are 345, 747, 878

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 345, 747, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 747, 878 is 1.

Therefore, GCD of numbers 345, 747, 878 is 1

Finding GCD of 345, 747, 878 using Prime Factorization

Given Input Data is 345, 747, 878

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 878 is 2 x 439

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

Finding GCD of 345, 747, 878 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(345, 747) = 85905

GCD(345, 747) = ( 345 x 747 ) / 85905

GCD(345, 747) = 257715 / 85905

GCD(345, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 878

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

LCM(3, 878) = 2634

GCD(3, 878) = ( 3 x 878 ) / 2634

GCD(3, 878) = 2634 / 2634

GCD(3, 878) = 1

GCD of 345, 747, 878 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 345, 747, 878

1. What is the GCD of 345, 747, 878?

GCD of 345, 747, 878 is 1

2. Where do I get the detailed procedure to find GCD of 345, 747, 878?

You can find a detailed procedure to find GCD of 345, 747, 878 on our page.

3. How to find GCD of 345, 747, 878 on a calculator?

You can find the GCD of 345, 747, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.