GCD of 754, 220, 213 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 754, 220, 213 i.e. 1 largest integer that divides all the numbers equally.

GCD of 754, 220, 213 is 1

GCD(754, 220, 213) = 1

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

GCD of

GCD of numbers 754, 220, 213 is 1

GCD(754, 220, 213) = 1

GCD of 754,220,213 Calculator

GCDof 754,220,213 is 1

Given Input numbers are 754, 220, 213

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 754, 220, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 220, 213 is 1.

Therefore, GCD of numbers 754, 220, 213 is 1

Finding GCD of 754, 220, 213 using Prime Factorization

Given Input Data is 754, 220, 213

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 213 is 3 x 71

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

Finding GCD of 754, 220, 213 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(754, 220) = 82940

GCD(754, 220) = ( 754 x 220 ) / 82940

GCD(754, 220) = 165880 / 82940

GCD(754, 220) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 754, 220, 213 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 754, 220, 213

1. What is the GCD of 754, 220, 213?

GCD of 754, 220, 213 is 1


2. Where do I get the detailed procedure to find GCD of 754, 220, 213?

You can find a detailed procedure to find GCD of 754, 220, 213 on our page.


3. How to find GCD of 754, 220, 213 on a calculator?

You can find the GCD of 754, 220, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.