GCD of 40, 87, 43, 21 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 40, 87, 43, 21 i.e. 1 largest integer that divides all the numbers equally.

GCD of 40, 87, 43, 21 is 1

GCD(40, 87, 43, 21) = 1

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

GCD of

GCD of numbers 40, 87, 43, 21 is 1

GCD(40, 87, 43, 21) = 1

GCD of 40,87,43,21 Calculator

GCDof 40,87,43,21 is 1

Given Input numbers are 40, 87, 43, 21

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 40, 87, 43, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 87, 43, 21 is 1.

Therefore, GCD of numbers 40, 87, 43, 21 is 1

Finding GCD of 40, 87, 43, 21 using Prime Factorization

Given Input Data is 40, 87, 43, 21

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 87 is 3 x 29

Prime Factorization of 43 is 43

Prime Factorization of 21 is 3 x 7

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

Finding GCD of 40, 87, 43, 21 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(40, 87) = 3480

GCD(40, 87) = ( 40 x 87 ) / 3480

GCD(40, 87) = 3480 / 3480

GCD(40, 87) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 40, 87, 43, 21 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 40, 87, 43, 21

1. What is the GCD of 40, 87, 43, 21?

GCD of 40, 87, 43, 21 is 1


2. Where do I get the detailed procedure to find GCD of 40, 87, 43, 21?

You can find a detailed procedure to find GCD of 40, 87, 43, 21 on our page.


3. How to find GCD of 40, 87, 43, 21 on a calculator?

You can find the GCD of 40, 87, 43, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.