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 54, 797, 138, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 797, 138, 650 is 1
GCD(54, 797, 138, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 797, 138, 650 is 1
GCD(54, 797, 138, 650) = 1
Given Input numbers are 54, 797, 138, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
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 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 54, 797, 138, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 797, 138, 650 is 1.
Therefore, GCD of numbers 54, 797, 138, 650 is 1
Given Input Data is 54, 797, 138, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 797 is 797
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 650 is 2 x 5 x 5 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(54, 797) = 43038
GCD(54, 797) = ( 54 x 797 ) / 43038
GCD(54, 797) = 43038 / 43038
GCD(54, 797) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 54, 797, 138, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 797, 138, 650?
GCD of 54, 797, 138, 650 is 1
2. Where do I get the detailed procedure to find GCD of 54, 797, 138, 650?
You can find a detailed procedure to find GCD of 54, 797, 138, 650 on our page.
3. How to find GCD of 54, 797, 138, 650 on a calculator?
You can find the GCD of 54, 797, 138, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.