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 778, 251, 72, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 778, 251, 72, 138 is 1
GCD(778, 251, 72, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 778, 251, 72, 138 is 1
GCD(778, 251, 72, 138) = 1
Given Input numbers are 778, 251, 72, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 778, 251, 72, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 251, 72, 138 is 1.
Therefore, GCD of numbers 778, 251, 72, 138 is 1
Given Input Data is 778, 251, 72, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 778 is 2 x 389
Prime Factorization of 251 is 251
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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(778, 251) = 195278
GCD(778, 251) = ( 778 x 251 ) / 195278
GCD(778, 251) = 195278 / 195278
GCD(778, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 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 778, 251, 72, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 778, 251, 72, 138?
GCD of 778, 251, 72, 138 is 1
2. Where do I get the detailed procedure to find GCD of 778, 251, 72, 138?
You can find a detailed procedure to find GCD of 778, 251, 72, 138 on our page.
3. How to find GCD of 778, 251, 72, 138 on a calculator?
You can find the GCD of 778, 251, 72, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.