GCD of 76, 678, 907, 889 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 76, 678, 907, 889 i.e. 1 largest integer that divides all the numbers equally.

GCD of 76, 678, 907, 889 is 1

GCD(76, 678, 907, 889) = 1

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

GCD of

GCD of numbers 76, 678, 907, 889 is 1

GCD(76, 678, 907, 889) = 1

GCD of 76,678,907,889 Calculator

GCDof 76,678,907,889 is 1

Given Input numbers are 76, 678, 907, 889

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 76, 678, 907, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 678, 907, 889 is 1.

Therefore, GCD of numbers 76, 678, 907, 889 is 1

Finding GCD of 76, 678, 907, 889 using Prime Factorization

Given Input Data is 76, 678, 907, 889

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 907 is 907

Prime Factorization of 889 is 7 x 127

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

Finding GCD of 76, 678, 907, 889 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(76, 678) = 25764

GCD(76, 678) = ( 76 x 678 ) / 25764

GCD(76, 678) = 51528 / 25764

GCD(76, 678) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

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

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 76, 678, 907, 889 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 76, 678, 907, 889

1. What is the GCD of 76, 678, 907, 889?

GCD of 76, 678, 907, 889 is 1


2. Where do I get the detailed procedure to find GCD of 76, 678, 907, 889?

You can find a detailed procedure to find GCD of 76, 678, 907, 889 on our page.


3. How to find GCD of 76, 678, 907, 889 on a calculator?

You can find the GCD of 76, 678, 907, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.