GCD of 274, 621, 37 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 274, 621, 37 i.e. 1 largest integer that divides all the numbers equally.

GCD of 274, 621, 37 is 1

GCD(274, 621, 37) = 1

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

GCD of

GCD of numbers 274, 621, 37 is 1

GCD(274, 621, 37) = 1

GCD of 274,621,37 Calculator

GCDof 274,621,37 is 1

Given Input numbers are 274, 621, 37

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Greatest Common Divisior

We found the divisors of 274, 621, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 621, 37 is 1.

Therefore, GCD of numbers 274, 621, 37 is 1

Finding GCD of 274, 621, 37 using Prime Factorization

Given Input Data is 274, 621, 37

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 37 is 37

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

Finding GCD of 274, 621, 37 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(274, 621) = 170154

GCD(274, 621) = ( 274 x 621 ) / 170154

GCD(274, 621) = 170154 / 170154

GCD(274, 621) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

GCD of 274, 621, 37 is 1

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FAQs on GCD of numbers 274, 621, 37

1. What is the GCD of 274, 621, 37?

GCD of 274, 621, 37 is 1

2. Where do I get the detailed procedure to find GCD of 274, 621, 37?

You can find a detailed procedure to find GCD of 274, 621, 37 on our page.

3. How to find GCD of 274, 621, 37 on a calculator?

You can find the GCD of 274, 621, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.