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, 136, 79, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 136, 79, 360 is 1
GCD(747, 136, 79, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 136, 79, 360 is 1
GCD(747, 136, 79, 360) = 1
Given Input numbers are 747, 136, 79, 360
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 747, 136, 79, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 136, 79, 360 is 1.
Therefore, GCD of numbers 747, 136, 79, 360 is 1
Given Input Data is 747, 136, 79, 360
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 136 is 2 x 2 x 2 x 17
Prime Factorization of 79 is 79
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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, 136) = 101592
GCD(747, 136) = ( 747 x 136 ) / 101592
GCD(747, 136) = 101592 / 101592
GCD(747, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 79) = 79
GCD(1, 79) = ( 1 x 79 ) / 79
GCD(1, 79) = 79 / 79
GCD(1, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 747, 136, 79, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 136, 79, 360?
GCD of 747, 136, 79, 360 is 1
2. Where do I get the detailed procedure to find GCD of 747, 136, 79, 360?
You can find a detailed procedure to find GCD of 747, 136, 79, 360 on our page.
3. How to find GCD of 747, 136, 79, 360 on a calculator?
You can find the GCD of 747, 136, 79, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.