GCD of 370, 240, 47, 135 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, 240, 47, 135 i.e. 1 largest integer that divides all the numbers equally.

GCD of 370, 240, 47, 135 is 1

GCD(370, 240, 47, 135) = 1

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

GCD of

GCD of numbers 370, 240, 47, 135 is 1

GCD(370, 240, 47, 135) = 1

GCD of 370,240,47,135 Calculator

GCDof 370,240,47,135 is 1

Given Input numbers are 370, 240, 47, 135

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 370, 240, 47, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 240, 47, 135 is 1.

Therefore, GCD of numbers 370, 240, 47, 135 is 1

Finding GCD of 370, 240, 47, 135 using Prime Factorization

Given Input Data is 370, 240, 47, 135

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 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 47 is 47

Prime Factorization of 135 is 3 x 3 x 3 x 5

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

Finding GCD of 370, 240, 47, 135 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, 240) = 8880

GCD(370, 240) = ( 370 x 240 ) / 8880

GCD(370, 240) = 88800 / 8880

GCD(370, 240) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 47

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

LCM(10, 47) = 470

GCD(10, 47) = ( 10 x 47 ) / 470

GCD(10, 47) = 470 / 470

GCD(10, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 370, 240, 47, 135 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 370, 240, 47, 135

1. What is the GCD of 370, 240, 47, 135?

GCD of 370, 240, 47, 135 is 1


2. Where do I get the detailed procedure to find GCD of 370, 240, 47, 135?

You can find a detailed procedure to find GCD of 370, 240, 47, 135 on our page.


3. How to find GCD of 370, 240, 47, 135 on a calculator?

You can find the GCD of 370, 240, 47, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.