GCD of 667, 812, 67, 675 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 667, 812, 67, 675 i.e. 1 largest integer that divides all the numbers equally.

GCD of 667, 812, 67, 675 is 1

GCD(667, 812, 67, 675) = 1

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

GCD of

GCD of numbers 667, 812, 67, 675 is 1

GCD(667, 812, 67, 675) = 1

GCD of 667,812,67,675 Calculator

GCDof 667,812,67,675 is 1

Given Input numbers are 667, 812, 67, 675

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 67

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

1, 67

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 667, 812, 67, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 812, 67, 675 is 1.

Therefore, GCD of numbers 667, 812, 67, 675 is 1

Finding GCD of 667, 812, 67, 675 using Prime Factorization

Given Input Data is 667, 812, 67, 675

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 67 is 67

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Finding GCD of 667, 812, 67, 675 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(667, 812) = 18676

GCD(667, 812) = ( 667 x 812 ) / 18676

GCD(667, 812) = 541604 / 18676

GCD(667, 812) = 29


Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 67

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

LCM(29, 67) = 1943

GCD(29, 67) = ( 29 x 67 ) / 1943

GCD(29, 67) = 1943 / 1943

GCD(29, 67) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 667, 812, 67, 675 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 667, 812, 67, 675

1. What is the GCD of 667, 812, 67, 675?

GCD of 667, 812, 67, 675 is 1


2. Where do I get the detailed procedure to find GCD of 667, 812, 67, 675?

You can find a detailed procedure to find GCD of 667, 812, 67, 675 on our page.


3. How to find GCD of 667, 812, 67, 675 on a calculator?

You can find the GCD of 667, 812, 67, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.