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 708, 709, 18, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 708, 709, 18, 156 is 1
GCD(708, 709, 18, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 708, 709, 18, 156 is 1
GCD(708, 709, 18, 156) = 1
Given Input numbers are 708, 709, 18, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 708, 709, 18, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 709, 18, 156 is 1.
Therefore, GCD of numbers 708, 709, 18, 156 is 1
Given Input Data is 708, 709, 18, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 709 is 709
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 156 is 2 x 2 x 3 x 13
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(708, 709) = 501972
GCD(708, 709) = ( 708 x 709 ) / 501972
GCD(708, 709) = 501972 / 501972
GCD(708, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 708, 709, 18, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 708, 709, 18, 156?
GCD of 708, 709, 18, 156 is 1
2. Where do I get the detailed procedure to find GCD of 708, 709, 18, 156?
You can find a detailed procedure to find GCD of 708, 709, 18, 156 on our page.
3. How to find GCD of 708, 709, 18, 156 on a calculator?
You can find the GCD of 708, 709, 18, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.