GCD of 76, 12, 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 76, 12, 60 i.e. 4 largest integer that divides all the numbers equally.
GCD of 76, 12, 60 is 4
GCD(76, 12, 60) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 12, 60 is 4
GCD(76, 12, 60) = 4
GCDof 76,12,60 is 4
Given Input numbers are 76, 12, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
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 76, 12, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 12, 60 is 4.
Therefore, GCD of numbers 76, 12, 60 is 4
Given Input Data is 76, 12, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 60 is 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 76, 12, 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(76, 12) = 228
GCD(76, 12) = ( 76 x 12 ) / 228
GCD(76, 12) = 912 / 228
GCD(76, 12) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 60) = 60
GCD(4, 60) = ( 4 x 60 ) / 60
GCD(4, 60) = 240 / 60
GCD(4, 60) = 4
GCD of 76, 12, 60 is 4
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FAQs on GCD of numbers 76, 12, 60
1. What is the GCD of 76, 12, 60?
GCD of 76, 12, 60 is 4
2. Where do I get the detailed procedure to find GCD of 76, 12, 60?
You can find a detailed procedure to find GCD of 76, 12, 60 on our page.
3. How to find GCD of 76, 12, 60 on a calculator?
You can find the GCD of 76, 12, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.