GCD of 631, 354, 45, 153 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 631, 354, 45, 153 i.e. 1 largest integer that divides all the numbers equally.

GCD of 631, 354, 45, 153 is 1

GCD(631, 354, 45, 153) = 1

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

GCD of

GCD of numbers 631, 354, 45, 153 is 1

GCD(631, 354, 45, 153) = 1

GCD of 631,354,45,153 Calculator

GCDof 631,354,45,153 is 1

Given Input numbers are 631, 354, 45, 153

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

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 631, 354, 45, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 354, 45, 153 is 1.

Therefore, GCD of numbers 631, 354, 45, 153 is 1

Finding GCD of 631, 354, 45, 153 using Prime Factorization

Given Input Data is 631, 354, 45, 153

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

Prime Factorization of 631 is 631

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 153 is 3 x 3 x 17

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

Finding GCD of 631, 354, 45, 153 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(631, 354) = 223374

GCD(631, 354) = ( 631 x 354 ) / 223374

GCD(631, 354) = 223374 / 223374

GCD(631, 354) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 631, 354, 45, 153 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 631, 354, 45, 153

1. What is the GCD of 631, 354, 45, 153?

GCD of 631, 354, 45, 153 is 1


2. Where do I get the detailed procedure to find GCD of 631, 354, 45, 153?

You can find a detailed procedure to find GCD of 631, 354, 45, 153 on our page.


3. How to find GCD of 631, 354, 45, 153 on a calculator?

You can find the GCD of 631, 354, 45, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.