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, 51, 76 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 51, 76 is 1
GCD(74, 51, 76) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 51, 76 is 1
GCD(74, 51, 76) = 1
Given Input numbers are 74, 51, 76
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 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Greatest Common Divisior
We found the divisors of 74, 51, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 51, 76 is 1.
Therefore, GCD of numbers 74, 51, 76 is 1
Given Input Data is 74, 51, 76
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 51 is 3 x 17
Prime Factorization of 76 is 2 x 2 x 19
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(74, 51) = 3774
GCD(74, 51) = ( 74 x 51 ) / 3774
GCD(74, 51) = 3774 / 3774
GCD(74, 51) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
GCD of 74, 51, 76 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 51, 76?
GCD of 74, 51, 76 is 1
2. Where do I get the detailed procedure to find GCD of 74, 51, 76?
You can find a detailed procedure to find GCD of 74, 51, 76 on our page.
3. How to find GCD of 74, 51, 76 on a calculator?
You can find the GCD of 74, 51, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.