GCD of 87, 93, 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 87, 93, 51 i.e. 3 largest integer that divides all the numbers equally.

GCD of 87, 93, 51 is 3

GCD(87, 93, 51) = 3

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

GCD of

GCD of numbers 87, 93, 51 is 3

GCD(87, 93, 51) = 3

GCD of 87,93,51 Calculator

GCDof 87,93,51 is 3

Given Input numbers are 87, 93, 51

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 87, 93, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 93, 51 is 3.

Therefore, GCD of numbers 87, 93, 51 is 3

Finding GCD of 87, 93, 51 using Prime Factorization

Given Input Data is 87, 93, 51

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 93 is 3 x 31

Prime Factorization of 51 is 3 x 17

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 87, 93, 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(87, 93) = 2697

GCD(87, 93) = ( 87 x 93 ) / 2697

GCD(87, 93) = 8091 / 2697

GCD(87, 93) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

GCD of 87, 93, 51 is 3

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FAQs on GCD of numbers 87, 93, 51

1. What is the GCD of 87, 93, 51?

GCD of 87, 93, 51 is 3


2. Where do I get the detailed procedure to find GCD of 87, 93, 51?

You can find a detailed procedure to find GCD of 87, 93, 51 on our page.


3. How to find GCD of 87, 93, 51 on a calculator?

You can find the GCD of 87, 93, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.