GCD of 900, 968, 67, 865 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 900, 968, 67, 865 i.e. 1 largest integer that divides all the numbers equally.

GCD of 900, 968, 67, 865 is 1

GCD(900, 968, 67, 865) = 1

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

GCD of

GCD of numbers 900, 968, 67, 865 is 1

GCD(900, 968, 67, 865) = 1

GCD of 900,968,67,865 Calculator

GCDof 900,968,67,865 is 1

Given Input numbers are 900, 968, 67, 865

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 900, 968, 67, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 968, 67, 865 is 1.

Therefore, GCD of numbers 900, 968, 67, 865 is 1

Finding GCD of 900, 968, 67, 865 using Prime Factorization

Given Input Data is 900, 968, 67, 865

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 67 is 67

Prime Factorization of 865 is 5 x 173

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

Finding GCD of 900, 968, 67, 865 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(900, 968) = 217800

GCD(900, 968) = ( 900 x 968 ) / 217800

GCD(900, 968) = 871200 / 217800

GCD(900, 968) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 900, 968, 67, 865 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 900, 968, 67, 865

1. What is the GCD of 900, 968, 67, 865?

GCD of 900, 968, 67, 865 is 1


2. Where do I get the detailed procedure to find GCD of 900, 968, 67, 865?

You can find a detailed procedure to find GCD of 900, 968, 67, 865 on our page.


3. How to find GCD of 900, 968, 67, 865 on a calculator?

You can find the GCD of 900, 968, 67, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.