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 138, 951, 750, 806 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 951, 750, 806 is 1
GCD(138, 951, 750, 806) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 951, 750, 806 is 1
GCD(138, 951, 750, 806) = 1
Given Input numbers are 138, 951, 750, 806
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Greatest Common Divisior
We found the divisors of 138, 951, 750, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 951, 750, 806 is 1.
Therefore, GCD of numbers 138, 951, 750, 806 is 1
Given Input Data is 138, 951, 750, 806
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 951 is 3 x 317
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 806 is 2 x 13 x 31
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(138, 951) = 43746
GCD(138, 951) = ( 138 x 951 ) / 43746
GCD(138, 951) = 131238 / 43746
GCD(138, 951) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 750) = 750
GCD(3, 750) = ( 3 x 750 ) / 750
GCD(3, 750) = 2250 / 750
GCD(3, 750) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 806) = 2418
GCD(3, 806) = ( 3 x 806 ) / 2418
GCD(3, 806) = 2418 / 2418
GCD(3, 806) = 1
GCD of 138, 951, 750, 806 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 951, 750, 806?
GCD of 138, 951, 750, 806 is 1
2. Where do I get the detailed procedure to find GCD of 138, 951, 750, 806?
You can find a detailed procedure to find GCD of 138, 951, 750, 806 on our page.
3. How to find GCD of 138, 951, 750, 806 on a calculator?
You can find the GCD of 138, 951, 750, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.