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 774, 139, 14, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 139, 14, 156 is 1
GCD(774, 139, 14, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 139, 14, 156 is 1
GCD(774, 139, 14, 156) = 1
Given Input numbers are 774, 139, 14, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
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 774, 139, 14, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 139, 14, 156 is 1.
Therefore, GCD of numbers 774, 139, 14, 156 is 1
Given Input Data is 774, 139, 14, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 139 is 139
Prime Factorization of 14 is 2 x 7
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(774, 139) = 107586
GCD(774, 139) = ( 774 x 139 ) / 107586
GCD(774, 139) = 107586 / 107586
GCD(774, 139) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 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 774, 139, 14, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 139, 14, 156?
GCD of 774, 139, 14, 156 is 1
2. Where do I get the detailed procedure to find GCD of 774, 139, 14, 156?
You can find a detailed procedure to find GCD of 774, 139, 14, 156 on our page.
3. How to find GCD of 774, 139, 14, 156 on a calculator?
You can find the GCD of 774, 139, 14, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.