GCD of 612, 370, 75, 364 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 612, 370, 75, 364 i.e. 1 largest integer that divides all the numbers equally.

GCD of 612, 370, 75, 364 is 1

GCD(612, 370, 75, 364) = 1

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

GCD of

GCD of numbers 612, 370, 75, 364 is 1

GCD(612, 370, 75, 364) = 1

GCD of 612,370,75,364 Calculator

GCDof 612,370,75,364 is 1

Given Input numbers are 612, 370, 75, 364

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 612, 370, 75, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 370, 75, 364 is 1.

Therefore, GCD of numbers 612, 370, 75, 364 is 1

Finding GCD of 612, 370, 75, 364 using Prime Factorization

Given Input Data is 612, 370, 75, 364

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Finding GCD of 612, 370, 75, 364 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(612, 370) = 113220

GCD(612, 370) = ( 612 x 370 ) / 113220

GCD(612, 370) = 226440 / 113220

GCD(612, 370) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 612, 370, 75, 364 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 612, 370, 75, 364

1. What is the GCD of 612, 370, 75, 364?

GCD of 612, 370, 75, 364 is 1


2. Where do I get the detailed procedure to find GCD of 612, 370, 75, 364?

You can find a detailed procedure to find GCD of 612, 370, 75, 364 on our page.


3. How to find GCD of 612, 370, 75, 364 on a calculator?

You can find the GCD of 612, 370, 75, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.