GCD of 74, 28, 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 74, 28, 60 i.e. 2 largest integer that divides all the numbers equally.
GCD of 74, 28, 60 is 2
GCD(74, 28, 60) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 28, 60 is 2
GCD(74, 28, 60) = 2
GCDof 74,28,60 is 2
Given Input numbers are 74, 28, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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 74, 28, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 28, 60 is 2.
Therefore, GCD of numbers 74, 28, 60 is 2
Given Input Data is 74, 28, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 60 is 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 74, 28, 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(74, 28) = 1036
GCD(74, 28) = ( 74 x 28 ) / 1036
GCD(74, 28) = 2072 / 1036
GCD(74, 28) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
GCD(2, 60) = 120 / 60
GCD(2, 60) = 2
GCD of 74, 28, 60 is 2
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FAQs on GCD of numbers 74, 28, 60
1. What is the GCD of 74, 28, 60?
GCD of 74, 28, 60 is 2
2. Where do I get the detailed procedure to find GCD of 74, 28, 60?
You can find a detailed procedure to find GCD of 74, 28, 60 on our page.
3. How to find GCD of 74, 28, 60 on a calculator?
You can find the GCD of 74, 28, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.