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 301, 564, 51, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 301, 564, 51, 236 is 1
GCD(301, 564, 51, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 301, 564, 51, 236 is 1
GCD(301, 564, 51, 236) = 1
Given Input numbers are 301, 564, 51, 236
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 301, 564, 51, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 564, 51, 236 is 1.
Therefore, GCD of numbers 301, 564, 51, 236 is 1
Given Input Data is 301, 564, 51, 236
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 301 is 7 x 43
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 51 is 3 x 17
Prime Factorization of 236 is 2 x 2 x 59
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(301, 564) = 169764
GCD(301, 564) = ( 301 x 564 ) / 169764
GCD(301, 564) = 169764 / 169764
GCD(301, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
GCD of 301, 564, 51, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 301, 564, 51, 236?
GCD of 301, 564, 51, 236 is 1
2. Where do I get the detailed procedure to find GCD of 301, 564, 51, 236?
You can find a detailed procedure to find GCD of 301, 564, 51, 236 on our page.
3. How to find GCD of 301, 564, 51, 236 on a calculator?
You can find the GCD of 301, 564, 51, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.