GCD of 220, 615, 87 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 220, 615, 87 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 615, 87 is 1
GCD(220, 615, 87) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 615, 87 is 1
GCD(220, 615, 87) = 1
GCDof 220,615,87 is 1
Given Input numbers are 220, 615, 87
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Greatest Common Divisior
We found the divisors of 220, 615, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 615, 87 is 1.
Therefore, GCD of numbers 220, 615, 87 is 1
Given Input Data is 220, 615, 87
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 87 is 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 220, 615, 87 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(220, 615) = 27060
GCD(220, 615) = ( 220 x 615 ) / 27060
GCD(220, 615) = 135300 / 27060
GCD(220, 615) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 87) = 435
GCD(5, 87) = ( 5 x 87 ) / 435
GCD(5, 87) = 435 / 435
GCD(5, 87) = 1
GCD of 220, 615, 87 is 1
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FAQs on GCD of numbers 220, 615, 87
1. What is the GCD of 220, 615, 87?
GCD of 220, 615, 87 is 1
2. Where do I get the detailed procedure to find GCD of 220, 615, 87?
You can find a detailed procedure to find GCD of 220, 615, 87 on our page.
3. How to find GCD of 220, 615, 87 on a calculator?
You can find the GCD of 220, 615, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
