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 79, 74, 10 i.e. 1 largest integer that divides all the numbers equally.
GCD of 79, 74, 10 is 1
GCD(79, 74, 10) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 79, 74, 10 is 1
GCD(79, 74, 10) = 1
Given Input numbers are 79, 74, 10
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Greatest Common Divisior
We found the divisors of 79, 74, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 74, 10 is 1.
Therefore, GCD of numbers 79, 74, 10 is 1
Given Input Data is 79, 74, 10
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 79 is 79
Prime Factorization of 74 is 2 x 37
Prime Factorization of 10 is 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
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(79, 74) = 5846
GCD(79, 74) = ( 79 x 74 ) / 5846
GCD(79, 74) = 5846 / 5846
GCD(79, 74) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
GCD of 79, 74, 10 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 79, 74, 10?
GCD of 79, 74, 10 is 1
2. Where do I get the detailed procedure to find GCD of 79, 74, 10?
You can find a detailed procedure to find GCD of 79, 74, 10 on our page.
3. How to find GCD of 79, 74, 10 on a calculator?
You can find the GCD of 79, 74, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.