GCD of 331, 748, 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 331, 748, 67, 675 i.e. 1 largest integer that divides all the numbers equally.

GCD of 331, 748, 67, 675 is 1

GCD(331, 748, 67, 675) = 1

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

GCD of

GCD of numbers 331, 748, 67, 675 is 1

GCD(331, 748, 67, 675) = 1

GCD of 331,748,67,675 Calculator

GCDof 331,748,67,675 is 1

Given Input numbers are 331, 748, 67, 675

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 331, 748, 67, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 748, 67, 675 is 1.

Therefore, GCD of numbers 331, 748, 67, 675 is 1

Finding GCD of 331, 748, 67, 675 using Prime Factorization

Given Input Data is 331, 748, 67, 675

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

Prime Factorization of 331 is 331

Prime Factorization of 748 is 2 x 2 x 11 x 17

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 331, 748, 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(331, 748) = 247588

GCD(331, 748) = ( 331 x 748 ) / 247588

GCD(331, 748) = 247588 / 247588

GCD(331, 748) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 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 331, 748, 67, 675 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 331, 748, 67, 675

1. What is the GCD of 331, 748, 67, 675?

GCD of 331, 748, 67, 675 is 1


2. Where do I get the detailed procedure to find GCD of 331, 748, 67, 675?

You can find a detailed procedure to find GCD of 331, 748, 67, 675 on our page.


3. How to find GCD of 331, 748, 67, 675 on a calculator?

You can find the GCD of 331, 748, 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.