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 771, 779, 43, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 779, 43, 138 is 1
GCD(771, 779, 43, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 779, 43, 138 is 1
GCD(771, 779, 43, 138) = 1
Given Input numbers are 771, 779, 43, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 771, 779, 43, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 779, 43, 138 is 1.
Therefore, GCD of numbers 771, 779, 43, 138 is 1
Given Input Data is 771, 779, 43, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 779 is 19 x 41
Prime Factorization of 43 is 43
Prime Factorization of 138 is 2 x 3 x 23
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(771, 779) = 600609
GCD(771, 779) = ( 771 x 779 ) / 600609
GCD(771, 779) = 600609 / 600609
GCD(771, 779) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 771, 779, 43, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 779, 43, 138?
GCD of 771, 779, 43, 138 is 1
2. Where do I get the detailed procedure to find GCD of 771, 779, 43, 138?
You can find a detailed procedure to find GCD of 771, 779, 43, 138 on our page.
3. How to find GCD of 771, 779, 43, 138 on a calculator?
You can find the GCD of 771, 779, 43, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.