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, 791, 852, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 791, 852, 746 is 1
GCD(74, 791, 852, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 791, 852, 746 is 1
GCD(74, 791, 852, 746) = 1
Given Input numbers are 74, 791, 852, 746
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 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 74, 791, 852, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 791, 852, 746 is 1.
Therefore, GCD of numbers 74, 791, 852, 746 is 1
Given Input Data is 74, 791, 852, 746
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 791 is 7 x 113
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 746 is 2 x 373
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, 791) = 58534
GCD(74, 791) = ( 74 x 791 ) / 58534
GCD(74, 791) = 58534 / 58534
GCD(74, 791) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 74, 791, 852, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 791, 852, 746?
GCD of 74, 791, 852, 746 is 1
2. Where do I get the detailed procedure to find GCD of 74, 791, 852, 746?
You can find a detailed procedure to find GCD of 74, 791, 852, 746 on our page.
3. How to find GCD of 74, 791, 852, 746 on a calculator?
You can find the GCD of 74, 791, 852, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.