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, 4, 93, 83 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 4, 93, 83 is 1
GCD(74, 4, 93, 83) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 4, 93, 83 is 1
GCD(74, 4, 93, 83) = 1
Given Input numbers are 74, 4, 93, 83
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 4
List of positive integer divisors of 4 that divides 4 without a remainder.
1, 2, 4
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Greatest Common Divisior
We found the divisors of 74, 4, 93, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 4, 93, 83 is 1.
Therefore, GCD of numbers 74, 4, 93, 83 is 1
Given Input Data is 74, 4, 93, 83
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 4 is 2 x 2
Prime Factorization of 93 is 3 x 31
Prime Factorization of 83 is 83
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, 4) = 148
GCD(74, 4) = ( 74 x 4 ) / 148
GCD(74, 4) = 296 / 148
GCD(74, 4) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 93) = 186
GCD(2, 93) = ( 2 x 93 ) / 186
GCD(2, 93) = 186 / 186
GCD(2, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
GCD of 74, 4, 93, 83 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 4, 93, 83?
GCD of 74, 4, 93, 83 is 1
2. Where do I get the detailed procedure to find GCD of 74, 4, 93, 83?
You can find a detailed procedure to find GCD of 74, 4, 93, 83 on our page.
3. How to find GCD of 74, 4, 93, 83 on a calculator?
You can find the GCD of 74, 4, 93, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.