GCD of 58, 76, 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 58, 76, 60 i.e. 2 largest integer that divides all the numbers equally.
GCD of 58, 76, 60 is 2
GCD(58, 76, 60) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 76, 60 is 2
GCD(58, 76, 60) = 2
GCDof 58,76,60 is 2
Given Input numbers are 58, 76, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
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 58, 76, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 76, 60 is 2.
Therefore, GCD of numbers 58, 76, 60 is 2
Given Input Data is 58, 76, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 76 is 2 x 2 x 19
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 58, 76, 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(58, 76) = 2204
GCD(58, 76) = ( 58 x 76 ) / 2204
GCD(58, 76) = 4408 / 2204
GCD(58, 76) = 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 58, 76, 60 is 2
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FAQs on GCD of numbers 58, 76, 60
1. What is the GCD of 58, 76, 60?
GCD of 58, 76, 60 is 2
2. Where do I get the detailed procedure to find GCD of 58, 76, 60?
You can find a detailed procedure to find GCD of 58, 76, 60 on our page.
3. How to find GCD of 58, 76, 60 on a calculator?
You can find the GCD of 58, 76, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.