GCD of 137, 465, 57, 894 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 137, 465, 57, 894 i.e. 1 largest integer that divides all the numbers equally.

GCD of 137, 465, 57, 894 is 1

GCD(137, 465, 57, 894) = 1

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

GCD of

GCD of numbers 137, 465, 57, 894 is 1

GCD(137, 465, 57, 894) = 1

GCD of 137,465,57,894 Calculator

GCDof 137,465,57,894 is 1

Given Input numbers are 137, 465, 57, 894

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 137, 465, 57, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 465, 57, 894 is 1.

Therefore, GCD of numbers 137, 465, 57, 894 is 1

Finding GCD of 137, 465, 57, 894 using Prime Factorization

Given Input Data is 137, 465, 57, 894

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

Prime Factorization of 137 is 137

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 57 is 3 x 19

Prime Factorization of 894 is 2 x 3 x 149

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

Finding GCD of 137, 465, 57, 894 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(137, 465) = 63705

GCD(137, 465) = ( 137 x 465 ) / 63705

GCD(137, 465) = 63705 / 63705

GCD(137, 465) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 137, 465, 57, 894 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 137, 465, 57, 894

1. What is the GCD of 137, 465, 57, 894?

GCD of 137, 465, 57, 894 is 1


2. Where do I get the detailed procedure to find GCD of 137, 465, 57, 894?

You can find a detailed procedure to find GCD of 137, 465, 57, 894 on our page.


3. How to find GCD of 137, 465, 57, 894 on a calculator?

You can find the GCD of 137, 465, 57, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.