GCD of 421, 750, 870 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 421, 750, 870 i.e. 1 largest integer that divides all the numbers equally.

GCD of 421, 750, 870 is 1

GCD(421, 750, 870) = 1

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

GCD of

GCD of numbers 421, 750, 870 is 1

GCD(421, 750, 870) = 1

GCD of 421,750,870 Calculator

GCDof 421,750,870 is 1

Given Input numbers are 421, 750, 870

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 421, 750, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 750, 870 is 1.

Therefore, GCD of numbers 421, 750, 870 is 1

Finding GCD of 421, 750, 870 using Prime Factorization

Given Input Data is 421, 750, 870

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

Prime Factorization of 421 is 421

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 870 is 2 x 3 x 5 x 29

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

Finding GCD of 421, 750, 870 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(421, 750) = 315750

GCD(421, 750) = ( 421 x 750 ) / 315750

GCD(421, 750) = 315750 / 315750

GCD(421, 750) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 421, 750, 870 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 421, 750, 870

1. What is the GCD of 421, 750, 870?

GCD of 421, 750, 870 is 1


2. Where do I get the detailed procedure to find GCD of 421, 750, 870?

You can find a detailed procedure to find GCD of 421, 750, 870 on our page.


3. How to find GCD of 421, 750, 870 on a calculator?

You can find the GCD of 421, 750, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.