GCD of 985, 234, 51 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 985, 234, 51 i.e. 1 largest integer that divides all the numbers equally.

GCD of 985, 234, 51 is 1

GCD(985, 234, 51) = 1

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

GCD of

GCD of numbers 985, 234, 51 is 1

GCD(985, 234, 51) = 1

GCD of 985,234,51 Calculator

GCDof 985,234,51 is 1

Given Input numbers are 985, 234, 51

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 985, 234, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 234, 51 is 1.

Therefore, GCD of numbers 985, 234, 51 is 1

Finding GCD of 985, 234, 51 using Prime Factorization

Given Input Data is 985, 234, 51

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 51 is 3 x 17

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

Finding GCD of 985, 234, 51 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(985, 234) = 230490

GCD(985, 234) = ( 985 x 234 ) / 230490

GCD(985, 234) = 230490 / 230490

GCD(985, 234) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

GCD of 985, 234, 51 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 985, 234, 51

1. What is the GCD of 985, 234, 51?

GCD of 985, 234, 51 is 1


2. Where do I get the detailed procedure to find GCD of 985, 234, 51?

You can find a detailed procedure to find GCD of 985, 234, 51 on our page.


3. How to find GCD of 985, 234, 51 on a calculator?

You can find the GCD of 985, 234, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.