GCD of 147, 840, 331, 576 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, 840, 331, 576 i.e. 1 largest integer that divides all the numbers equally.

GCD of 147, 840, 331, 576 is 1

GCD(147, 840, 331, 576) = 1

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

GCD of

GCD of numbers 147, 840, 331, 576 is 1

GCD(147, 840, 331, 576) = 1

GCD of 147,840,331,576 Calculator

GCDof 147,840,331,576 is 1

Given Input numbers are 147, 840, 331, 576

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 331

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

1, 331

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 147, 840, 331, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 840, 331, 576 is 1.

Therefore, GCD of numbers 147, 840, 331, 576 is 1

Finding GCD of 147, 840, 331, 576 using Prime Factorization

Given Input Data is 147, 840, 331, 576

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 331 is 331

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Finding GCD of 147, 840, 331, 576 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, 840) = 5880

GCD(147, 840) = ( 147 x 840 ) / 5880

GCD(147, 840) = 123480 / 5880

GCD(147, 840) = 21


Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 331

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

LCM(21, 331) = 6951

GCD(21, 331) = ( 21 x 331 ) / 6951

GCD(21, 331) = 6951 / 6951

GCD(21, 331) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 576

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

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

GCD(1, 576) = 576 / 576

GCD(1, 576) = 1

GCD of 147, 840, 331, 576 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 147, 840, 331, 576

1. What is the GCD of 147, 840, 331, 576?

GCD of 147, 840, 331, 576 is 1


2. Where do I get the detailed procedure to find GCD of 147, 840, 331, 576?

You can find a detailed procedure to find GCD of 147, 840, 331, 576 on our page.


3. How to find GCD of 147, 840, 331, 576 on a calculator?

You can find the GCD of 147, 840, 331, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.