GCD of 57, 78, 60 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 57, 78, 60 i.e. 3 largest integer that divides all the numbers equally.
GCD of 57, 78, 60 is 3
GCD(57, 78, 60) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 78, 60 is 3
GCD(57, 78, 60) = 3
GCDof 57,78,60 is 3
Given Input numbers are 57, 78, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greatest Common Divisior
We found the divisors of 57, 78, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 78, 60 is 3.
Therefore, GCD of numbers 57, 78, 60 is 3
Given Input Data is 57, 78, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 60 is 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 57, 78, 60 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(57, 78) = 1482
GCD(57, 78) = ( 57 x 78 ) / 1482
GCD(57, 78) = 4446 / 1482
GCD(57, 78) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
GCD(3, 60) = 180 / 60
GCD(3, 60) = 3
GCD of 57, 78, 60 is 3
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FAQs on GCD of numbers 57, 78, 60
1. What is the GCD of 57, 78, 60?
GCD of 57, 78, 60 is 3
2. Where do I get the detailed procedure to find GCD of 57, 78, 60?
You can find a detailed procedure to find GCD of 57, 78, 60 on our page.
3. How to find GCD of 57, 78, 60 on a calculator?
You can find the GCD of 57, 78, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.