GCD of 51, 90, 72 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 51, 90, 72 i.e. 3 largest integer that divides all the numbers equally.
GCD of 51, 90, 72 is 3
GCD(51, 90, 72) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 90, 72 is 3
GCD(51, 90, 72) = 3
GCDof 51,90,72 is 3
Given Input numbers are 51, 90, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Greatest Common Divisior
We found the divisors of 51, 90, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 90, 72 is 3.
Therefore, GCD of numbers 51, 90, 72 is 3
Given Input Data is 51, 90, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 51, 90, 72 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(51, 90) = 1530
GCD(51, 90) = ( 51 x 90 ) / 1530
GCD(51, 90) = 4590 / 1530
GCD(51, 90) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
GCD(3, 72) = 216 / 72
GCD(3, 72) = 3
GCD of 51, 90, 72 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 51, 90, 72
1. What is the GCD of 51, 90, 72?
GCD of 51, 90, 72 is 3
2. Where do I get the detailed procedure to find GCD of 51, 90, 72?
You can find a detailed procedure to find GCD of 51, 90, 72 on our page.
3. How to find GCD of 51, 90, 72 on a calculator?
You can find the GCD of 51, 90, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.