GCD of 875, 420, 24, 128 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 875, 420, 24, 128 i.e. 1 largest integer that divides all the numbers equally.

GCD of 875, 420, 24, 128 is 1

GCD(875, 420, 24, 128) = 1

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

GCD of

GCD of numbers 875, 420, 24, 128 is 1

GCD(875, 420, 24, 128) = 1

GCD of 875,420,24,128 Calculator

GCDof 875,420,24,128 is 1

Given Input numbers are 875, 420, 24, 128

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 875, 420, 24, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 420, 24, 128 is 1.

Therefore, GCD of numbers 875, 420, 24, 128 is 1

Finding GCD of 875, 420, 24, 128 using Prime Factorization

Given Input Data is 875, 420, 24, 128

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Finding GCD of 875, 420, 24, 128 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(875, 420) = 10500

GCD(875, 420) = ( 875 x 420 ) / 10500

GCD(875, 420) = 367500 / 10500

GCD(875, 420) = 35


Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 24

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

LCM(35, 24) = 840

GCD(35, 24) = ( 35 x 24 ) / 840

GCD(35, 24) = 840 / 840

GCD(35, 24) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 875, 420, 24, 128 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 875, 420, 24, 128

1. What is the GCD of 875, 420, 24, 128?

GCD of 875, 420, 24, 128 is 1


2. Where do I get the detailed procedure to find GCD of 875, 420, 24, 128?

You can find a detailed procedure to find GCD of 875, 420, 24, 128 on our page.


3. How to find GCD of 875, 420, 24, 128 on a calculator?

You can find the GCD of 875, 420, 24, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.