GCD of 75, 57, 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 75, 57, 60 i.e. 3 largest integer that divides all the numbers equally.
GCD of 75, 57, 60 is 3
GCD(75, 57, 60) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 57, 60 is 3
GCD(75, 57, 60) = 3
GCDof 75,57,60 is 3
Given Input numbers are 75, 57, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
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 75, 57, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 57, 60 is 3.
Therefore, GCD of numbers 75, 57, 60 is 3
Given Input Data is 75, 57, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 57 is 3 x 19
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 75, 57, 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(75, 57) = 1425
GCD(75, 57) = ( 75 x 57 ) / 1425
GCD(75, 57) = 4275 / 1425
GCD(75, 57) = 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 75, 57, 60 is 3
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FAQs on GCD of numbers 75, 57, 60
1. What is the GCD of 75, 57, 60?
GCD of 75, 57, 60 is 3
2. Where do I get the detailed procedure to find GCD of 75, 57, 60?
You can find a detailed procedure to find GCD of 75, 57, 60 on our page.
3. How to find GCD of 75, 57, 60 on a calculator?
You can find the GCD of 75, 57, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.