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 51, 750, 226, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 750, 226, 601 is 1
GCD(51, 750, 226, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 750, 226, 601 is 1
GCD(51, 750, 226, 601) = 1
Given Input numbers are 51, 750, 226, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
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 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 51, 750, 226, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 750, 226, 601 is 1.
Therefore, GCD of numbers 51, 750, 226, 601 is 1
Given Input Data is 51, 750, 226, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 226 is 2 x 113
Prime Factorization of 601 is 601
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(51, 750) = 12750
GCD(51, 750) = ( 51 x 750 ) / 12750
GCD(51, 750) = 38250 / 12750
GCD(51, 750) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 226) = 678
GCD(3, 226) = ( 3 x 226 ) / 678
GCD(3, 226) = 678 / 678
GCD(3, 226) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 51, 750, 226, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 750, 226, 601?
GCD of 51, 750, 226, 601 is 1
2. Where do I get the detailed procedure to find GCD of 51, 750, 226, 601?
You can find a detailed procedure to find GCD of 51, 750, 226, 601 on our page.
3. How to find GCD of 51, 750, 226, 601 on a calculator?
You can find the GCD of 51, 750, 226, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.