GCD of 213, 374, 51 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 213, 374, 51 i.e. 1 largest integer that divides all the numbers equally.

GCD of 213, 374, 51 is 1

GCD(213, 374, 51) = 1

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

GCD of

GCD of numbers 213, 374, 51 is 1

GCD(213, 374, 51) = 1

GCD of 213,374,51 Calculator

GCDof 213,374,51 is 1

Given Input numbers are 213, 374, 51

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

Divisors of 213

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

1, 3, 71, 213

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 213, 374, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 374, 51 is 1.

Therefore, GCD of numbers 213, 374, 51 is 1

Finding GCD of 213, 374, 51 using Prime Factorization

Given Input Data is 213, 374, 51

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 51 is 3 x 17

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

Finding GCD of 213, 374, 51 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(213, 374) = 79662

GCD(213, 374) = ( 213 x 374 ) / 79662

GCD(213, 374) = 79662 / 79662

GCD(213, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

GCD of 213, 374, 51 is 1

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FAQs on GCD of numbers 213, 374, 51

1. What is the GCD of 213, 374, 51?

GCD of 213, 374, 51 is 1

2. Where do I get the detailed procedure to find GCD of 213, 374, 51?

You can find a detailed procedure to find GCD of 213, 374, 51 on our page.

3. How to find GCD of 213, 374, 51 on a calculator?

You can find the GCD of 213, 374, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.