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 747, 159, 12, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 159, 12, 758 is 1
GCD(747, 159, 12, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 159, 12, 758 is 1
GCD(747, 159, 12, 758) = 1
Given Input numbers are 747, 159, 12, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 747, 159, 12, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 159, 12, 758 is 1.
Therefore, GCD of numbers 747, 159, 12, 758 is 1
Given Input Data is 747, 159, 12, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 159 is 3 x 53
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 758 is 2 x 379
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(747, 159) = 39591
GCD(747, 159) = ( 747 x 159 ) / 39591
GCD(747, 159) = 118773 / 39591
GCD(747, 159) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 12) = 12
GCD(3, 12) = ( 3 x 12 ) / 12
GCD(3, 12) = 36 / 12
GCD(3, 12) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 758) = 2274
GCD(3, 758) = ( 3 x 758 ) / 2274
GCD(3, 758) = 2274 / 2274
GCD(3, 758) = 1
GCD of 747, 159, 12, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 159, 12, 758?
GCD of 747, 159, 12, 758 is 1
2. Where do I get the detailed procedure to find GCD of 747, 159, 12, 758?
You can find a detailed procedure to find GCD of 747, 159, 12, 758 on our page.
3. How to find GCD of 747, 159, 12, 758 on a calculator?
You can find the GCD of 747, 159, 12, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.