GCD of 945, 910, 76 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 945, 910, 76 i.e. 1 largest integer that divides all the numbers equally.

GCD of 945, 910, 76 is 1

GCD(945, 910, 76) = 1

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

GCD of

GCD of numbers 945, 910, 76 is 1

GCD(945, 910, 76) = 1

GCD of 945,910,76 Calculator

GCDof 945,910,76 is 1

Given Input numbers are 945, 910, 76

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 76

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

1, 2, 4, 19, 38, 76

Greatest Common Divisior

We found the divisors of 945, 910, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 910, 76 is 1.

Therefore, GCD of numbers 945, 910, 76 is 1

Finding GCD of 945, 910, 76 using Prime Factorization

Given Input Data is 945, 910, 76

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 76 is 2 x 2 x 19

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

Finding GCD of 945, 910, 76 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(945, 910) = 24570

GCD(945, 910) = ( 945 x 910 ) / 24570

GCD(945, 910) = 859950 / 24570

GCD(945, 910) = 35


Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 76

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

LCM(35, 76) = 2660

GCD(35, 76) = ( 35 x 76 ) / 2660

GCD(35, 76) = 2660 / 2660

GCD(35, 76) = 1

GCD of 945, 910, 76 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 945, 910, 76

1. What is the GCD of 945, 910, 76?

GCD of 945, 910, 76 is 1


2. Where do I get the detailed procedure to find GCD of 945, 910, 76?

You can find a detailed procedure to find GCD of 945, 910, 76 on our page.


3. How to find GCD of 945, 910, 76 on a calculator?

You can find the GCD of 945, 910, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.