GCD of 80, 76, 42 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 80, 76, 42 i.e. 2 largest integer that divides all the numbers equally.
GCD of 80, 76, 42 is 2
GCD(80, 76, 42) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 76, 42 is 2
GCD(80, 76, 42) = 2
GCDof 80,76,42 is 2
Given Input numbers are 80, 76, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 80, 76, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 76, 42 is 2.
Therefore, GCD of numbers 80, 76, 42 is 2
Given Input Data is 80, 76, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 42 is 2 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 80, 76, 42 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(80, 76) = 1520
GCD(80, 76) = ( 80 x 76 ) / 1520
GCD(80, 76) = 6080 / 1520
GCD(80, 76) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 42) = 84
GCD(4, 42) = ( 4 x 42 ) / 84
GCD(4, 42) = 168 / 84
GCD(4, 42) = 2
GCD of 80, 76, 42 is 2
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FAQs on GCD of numbers 80, 76, 42
1. What is the GCD of 80, 76, 42?
GCD of 80, 76, 42 is 2
2. Where do I get the detailed procedure to find GCD of 80, 76, 42?
You can find a detailed procedure to find GCD of 80, 76, 42 on our page.
3. How to find GCD of 80, 76, 42 on a calculator?
You can find the GCD of 80, 76, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.