GCD of 85, 635, 114, 120 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 85, 635, 114, 120 i.e. 1 largest integer that divides all the numbers equally.

GCD of 85, 635, 114, 120 is 1

GCD(85, 635, 114, 120) = 1

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

GCD of

GCD of numbers 85, 635, 114, 120 is 1

GCD(85, 635, 114, 120) = 1

GCD of 85,635,114,120 Calculator

GCDof 85,635,114,120 is 1

Given Input numbers are 85, 635, 114, 120

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

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

Greatest Common Divisior

We found the divisors of 85, 635, 114, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 635, 114, 120 is 1.

Therefore, GCD of numbers 85, 635, 114, 120 is 1

Finding GCD of 85, 635, 114, 120 using Prime Factorization

Given Input Data is 85, 635, 114, 120

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 635 is 5 x 127

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

Finding GCD of 85, 635, 114, 120 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(85, 635) = 10795

GCD(85, 635) = ( 85 x 635 ) / 10795

GCD(85, 635) = 53975 / 10795

GCD(85, 635) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 114

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

LCM(5, 114) = 570

GCD(5, 114) = ( 5 x 114 ) / 570

GCD(5, 114) = 570 / 570

GCD(5, 114) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 85, 635, 114, 120 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 85, 635, 114, 120

1. What is the GCD of 85, 635, 114, 120?

GCD of 85, 635, 114, 120 is 1


2. Where do I get the detailed procedure to find GCD of 85, 635, 114, 120?

You can find a detailed procedure to find GCD of 85, 635, 114, 120 on our page.


3. How to find GCD of 85, 635, 114, 120 on a calculator?

You can find the GCD of 85, 635, 114, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.