GCD of 87, 36, 45 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, 36, 45 i.e. 3 largest integer that divides all the numbers equally.
GCD of 87, 36, 45 is 3
GCD(87, 36, 45) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 36, 45 is 3
GCD(87, 36, 45) = 3
GCDof 87,36,45 is 3
Given Input numbers are 87, 36, 45
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 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 87, 36, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 36, 45 is 3.
Therefore, GCD of numbers 87, 36, 45 is 3
Given Input Data is 87, 36, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 45 is 3 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 87, 36, 45 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, 36) = 1044
GCD(87, 36) = ( 87 x 36 ) / 1044
GCD(87, 36) = 3132 / 1044
GCD(87, 36) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 45) = 45
GCD(3, 45) = ( 3 x 45 ) / 45
GCD(3, 45) = 135 / 45
GCD(3, 45) = 3
GCD of 87, 36, 45 is 3
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FAQs on GCD of numbers 87, 36, 45
1. What is the GCD of 87, 36, 45?
GCD of 87, 36, 45 is 3
2. Where do I get the detailed procedure to find GCD of 87, 36, 45?
You can find a detailed procedure to find GCD of 87, 36, 45 on our page.
3. How to find GCD of 87, 36, 45 on a calculator?
You can find the GCD of 87, 36, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.