GCD of 370, 282, 75, 536 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 370, 282, 75, 536 i.e. 1 largest integer that divides all the numbers equally.

GCD of 370, 282, 75, 536 is 1

GCD(370, 282, 75, 536) = 1

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

GCD of

GCD of numbers 370, 282, 75, 536 is 1

GCD(370, 282, 75, 536) = 1

GCD of 370,282,75,536 Calculator

GCDof 370,282,75,536 is 1

Given Input numbers are 370, 282, 75, 536

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

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 370, 282, 75, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 282, 75, 536 is 1.

Therefore, GCD of numbers 370, 282, 75, 536 is 1

Finding GCD of 370, 282, 75, 536 using Prime Factorization

Given Input Data is 370, 282, 75, 536

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 536 is 2 x 2 x 2 x 67

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

Finding GCD of 370, 282, 75, 536 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(370, 282) = 52170

GCD(370, 282) = ( 370 x 282 ) / 52170

GCD(370, 282) = 104340 / 52170

GCD(370, 282) = 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 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

GCD of 370, 282, 75, 536 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 370, 282, 75, 536

1. What is the GCD of 370, 282, 75, 536?

GCD of 370, 282, 75, 536 is 1


2. Where do I get the detailed procedure to find GCD of 370, 282, 75, 536?

You can find a detailed procedure to find GCD of 370, 282, 75, 536 on our page.


3. How to find GCD of 370, 282, 75, 536 on a calculator?

You can find the GCD of 370, 282, 75, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.