GCD of 21, 84, 35 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 21, 84, 35 i.e. 7 largest integer that divides all the numbers equally.

GCD of 21, 84, 35 is 7

GCD(21, 84, 35) = 7

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

GCD of

GCD of numbers 21, 84, 35 is 7

GCD(21, 84, 35) = 7

GCD of 21,84,35 Calculator

GCDof 21,84,35 is 7

Given Input numbers are 21, 84, 35

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 21, 84, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 84, 35 is 7.

Therefore, GCD of numbers 21, 84, 35 is 7

Finding GCD of 21, 84, 35 using Prime Factorization

Given Input Data is 21, 84, 35

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 35 is 5 x 7

Highest common occurrences in the given inputs are 71

Multiplying them we get the GCD as 7

Finding GCD of 21, 84, 35 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(21, 84) = 84

GCD(21, 84) = ( 21 x 84 ) / 84

GCD(21, 84) = 1764 / 84

GCD(21, 84) = 21


Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 35

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

LCM(21, 35) = 105

GCD(21, 35) = ( 21 x 35 ) / 105

GCD(21, 35) = 735 / 105

GCD(21, 35) = 7

GCD of 21, 84, 35 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 21, 84, 35

1. What is the GCD of 21, 84, 35?

GCD of 21, 84, 35 is 7


2. Where do I get the detailed procedure to find GCD of 21, 84, 35?

You can find a detailed procedure to find GCD of 21, 84, 35 on our page.


3. How to find GCD of 21, 84, 35 on a calculator?

You can find the GCD of 21, 84, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.