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, 64, 68, 95 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 64, 68, 95 is 1
GCD(74, 64, 68, 95) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 64, 68, 95 is 1
GCD(74, 64, 68, 95) = 1
Given Input numbers are 74, 64, 68, 95
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 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Greatest Common Divisior
We found the divisors of 74, 64, 68, 95 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 64, 68, 95 is 1.
Therefore, GCD of numbers 74, 64, 68, 95 is 1
Given Input Data is 74, 64, 68, 95
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 95 is 5 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, 64) = 2368
GCD(74, 64) = ( 74 x 64 ) / 2368
GCD(74, 64) = 4736 / 2368
GCD(74, 64) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 68) = 68
GCD(2, 68) = ( 2 x 68 ) / 68
GCD(2, 68) = 136 / 68
GCD(2, 68) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 95) = 190
GCD(2, 95) = ( 2 x 95 ) / 190
GCD(2, 95) = 190 / 190
GCD(2, 95) = 1
GCD of 74, 64, 68, 95 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 64, 68, 95?
GCD of 74, 64, 68, 95 is 1
2. Where do I get the detailed procedure to find GCD of 74, 64, 68, 95?
You can find a detailed procedure to find GCD of 74, 64, 68, 95 on our page.
3. How to find GCD of 74, 64, 68, 95 on a calculator?
You can find the GCD of 74, 64, 68, 95 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.