GCD of 675, 667, 32, 997 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 675, 667, 32, 997 i.e. 1 largest integer that divides all the numbers equally.

GCD of 675, 667, 32, 997 is 1

GCD(675, 667, 32, 997) = 1

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

GCD of

GCD of numbers 675, 667, 32, 997 is 1

GCD(675, 667, 32, 997) = 1

GCD of 675,667,32,997 Calculator

GCDof 675,667,32,997 is 1

Given Input numbers are 675, 667, 32, 997

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

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

Divisors of 667

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

1, 23, 29, 667

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 675, 667, 32, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 667, 32, 997 is 1.

Therefore, GCD of numbers 675, 667, 32, 997 is 1

Finding GCD of 675, 667, 32, 997 using Prime Factorization

Given Input Data is 675, 667, 32, 997

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

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 997 is 997

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

Finding GCD of 675, 667, 32, 997 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(675, 667) = 450225

GCD(675, 667) = ( 675 x 667 ) / 450225

GCD(675, 667) = 450225 / 450225

GCD(675, 667) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 675, 667, 32, 997 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 675, 667, 32, 997

1. What is the GCD of 675, 667, 32, 997?

GCD of 675, 667, 32, 997 is 1


2. Where do I get the detailed procedure to find GCD of 675, 667, 32, 997?

You can find a detailed procedure to find GCD of 675, 667, 32, 997 on our page.


3. How to find GCD of 675, 667, 32, 997 on a calculator?

You can find the GCD of 675, 667, 32, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.