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, 142, 26, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 142, 26, 167 is 1
GCD(774, 142, 26, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 142, 26, 167 is 1
GCD(774, 142, 26, 167) = 1
Given Input numbers are 774, 142, 26, 167
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 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 774, 142, 26, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 142, 26, 167 is 1.
Therefore, GCD of numbers 774, 142, 26, 167 is 1
Given Input Data is 774, 142, 26, 167
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 142 is 2 x 71
Prime Factorization of 26 is 2 x 13
Prime Factorization of 167 is 167
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, 142) = 54954
GCD(774, 142) = ( 774 x 142 ) / 54954
GCD(774, 142) = 109908 / 54954
GCD(774, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 167) = 334
GCD(2, 167) = ( 2 x 167 ) / 334
GCD(2, 167) = 334 / 334
GCD(2, 167) = 1
GCD of 774, 142, 26, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 142, 26, 167?
GCD of 774, 142, 26, 167 is 1
2. Where do I get the detailed procedure to find GCD of 774, 142, 26, 167?
You can find a detailed procedure to find GCD of 774, 142, 26, 167 on our page.
3. How to find GCD of 774, 142, 26, 167 on a calculator?
You can find the GCD of 774, 142, 26, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.