GCD of 63, 57, 85 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 63, 57, 85 i.e. 1 largest integer that divides all the numbers equally.

GCD of 63, 57, 85 is 1

GCD(63, 57, 85) = 1

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

GCD of

GCD of numbers 63, 57, 85 is 1

GCD(63, 57, 85) = 1

GCD of 63,57,85 Calculator

GCDof 63,57,85 is 1

Given Input numbers are 63, 57, 85

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 57

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

1, 3, 19, 57

Divisors of 85

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

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 63, 57, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 57, 85 is 1.

Therefore, GCD of numbers 63, 57, 85 is 1

Finding GCD of 63, 57, 85 using Prime Factorization

Given Input Data is 63, 57, 85

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 57 is 3 x 19

Prime Factorization of 85 is 5 x 17

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

Finding GCD of 63, 57, 85 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(63, 57) = 1197

GCD(63, 57) = ( 63 x 57 ) / 1197

GCD(63, 57) = 3591 / 1197

GCD(63, 57) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

GCD of 63, 57, 85 is 1

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FAQs on GCD of numbers 63, 57, 85

1. What is the GCD of 63, 57, 85?

GCD of 63, 57, 85 is 1


2. Where do I get the detailed procedure to find GCD of 63, 57, 85?

You can find a detailed procedure to find GCD of 63, 57, 85 on our page.


3. How to find GCD of 63, 57, 85 on a calculator?

You can find the GCD of 63, 57, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.