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 157, 721, 23, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 721, 23, 301 is 1
GCD(157, 721, 23, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 721, 23, 301 is 1
GCD(157, 721, 23, 301) = 1
Given Input numbers are 157, 721, 23, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 157, 721, 23, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 721, 23, 301 is 1.
Therefore, GCD of numbers 157, 721, 23, 301 is 1
Given Input Data is 157, 721, 23, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 721 is 7 x 103
Prime Factorization of 23 is 23
Prime Factorization of 301 is 7 x 43
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(157, 721) = 113197
GCD(157, 721) = ( 157 x 721 ) / 113197
GCD(157, 721) = 113197 / 113197
GCD(157, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 157, 721, 23, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 721, 23, 301?
GCD of 157, 721, 23, 301 is 1
2. Where do I get the detailed procedure to find GCD of 157, 721, 23, 301?
You can find a detailed procedure to find GCD of 157, 721, 23, 301 on our page.
3. How to find GCD of 157, 721, 23, 301 on a calculator?
You can find the GCD of 157, 721, 23, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.