GCD of 100, 212, 743 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 100, 212, 743 i.e. 1 largest integer that divides all the numbers equally.

GCD of 100, 212, 743 is 1

GCD(100, 212, 743) = 1

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

GCD of

GCD of numbers 100, 212, 743 is 1

GCD(100, 212, 743) = 1

GCD of 100,212,743 Calculator

GCDof 100,212,743 is 1

Given Input numbers are 100, 212, 743

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 100, 212, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 212, 743 is 1.

Therefore, GCD of numbers 100, 212, 743 is 1

Finding GCD of 100, 212, 743 using Prime Factorization

Given Input Data is 100, 212, 743

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 743 is 743

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

Finding GCD of 100, 212, 743 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(100, 212) = 5300

GCD(100, 212) = ( 100 x 212 ) / 5300

GCD(100, 212) = 21200 / 5300

GCD(100, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 743

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

LCM(4, 743) = 2972

GCD(4, 743) = ( 4 x 743 ) / 2972

GCD(4, 743) = 2972 / 2972

GCD(4, 743) = 1

GCD of 100, 212, 743 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 100, 212, 743

1. What is the GCD of 100, 212, 743?

GCD of 100, 212, 743 is 1

2. Where do I get the detailed procedure to find GCD of 100, 212, 743?

You can find a detailed procedure to find GCD of 100, 212, 743 on our page.

3. How to find GCD of 100, 212, 743 on a calculator?

You can find the GCD of 100, 212, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.