GCD of 147, 162, 48, 643 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 147, 162, 48, 643 i.e. 1 largest integer that divides all the numbers equally.

GCD of 147, 162, 48, 643 is 1

GCD(147, 162, 48, 643) = 1

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

GCD of

GCD of numbers 147, 162, 48, 643 is 1

GCD(147, 162, 48, 643) = 1

GCD of 147,162,48,643 Calculator

GCDof 147,162,48,643 is 1

Given Input numbers are 147, 162, 48, 643

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 147, 162, 48, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 162, 48, 643 is 1.

Therefore, GCD of numbers 147, 162, 48, 643 is 1

Finding GCD of 147, 162, 48, 643 using Prime Factorization

Given Input Data is 147, 162, 48, 643

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 643 is 643

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

Finding GCD of 147, 162, 48, 643 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(147, 162) = 7938

GCD(147, 162) = ( 147 x 162 ) / 7938

GCD(147, 162) = 23814 / 7938

GCD(147, 162) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 643

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

LCM(3, 643) = 1929

GCD(3, 643) = ( 3 x 643 ) / 1929

GCD(3, 643) = 1929 / 1929

GCD(3, 643) = 1

GCD of 147, 162, 48, 643 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 147, 162, 48, 643

1. What is the GCD of 147, 162, 48, 643?

GCD of 147, 162, 48, 643 is 1


2. Where do I get the detailed procedure to find GCD of 147, 162, 48, 643?

You can find a detailed procedure to find GCD of 147, 162, 48, 643 on our page.


3. How to find GCD of 147, 162, 48, 643 on a calculator?

You can find the GCD of 147, 162, 48, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.