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, 159, 37, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 301, 159, 37, 753 is 1
GCD(301, 159, 37, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 301, 159, 37, 753 is 1
GCD(301, 159, 37, 753) = 1
Given Input numbers are 301, 159, 37, 753
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 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 301, 159, 37, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 159, 37, 753 is 1.
Therefore, GCD of numbers 301, 159, 37, 753 is 1
Given Input Data is 301, 159, 37, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 301 is 7 x 43
Prime Factorization of 159 is 3 x 53
Prime Factorization of 37 is 37
Prime Factorization of 753 is 3 x 251
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, 159) = 47859
GCD(301, 159) = ( 301 x 159 ) / 47859
GCD(301, 159) = 47859 / 47859
GCD(301, 159) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 301, 159, 37, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 301, 159, 37, 753?
GCD of 301, 159, 37, 753 is 1
2. Where do I get the detailed procedure to find GCD of 301, 159, 37, 753?
You can find a detailed procedure to find GCD of 301, 159, 37, 753 on our page.
3. How to find GCD of 301, 159, 37, 753 on a calculator?
You can find the GCD of 301, 159, 37, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.