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 307, 315, 470, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 315, 470, 157 is 1
GCD(307, 315, 470, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 315, 470, 157 is 1
GCD(307, 315, 470, 157) = 1
Given Input numbers are 307, 315, 470, 157
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 307, 315, 470, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 315, 470, 157 is 1.
Therefore, GCD of numbers 307, 315, 470, 157 is 1
Given Input Data is 307, 315, 470, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 157 is 157
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(307, 315) = 96705
GCD(307, 315) = ( 307 x 315 ) / 96705
GCD(307, 315) = 96705 / 96705
GCD(307, 315) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 307, 315, 470, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 315, 470, 157?
GCD of 307, 315, 470, 157 is 1
2. Where do I get the detailed procedure to find GCD of 307, 315, 470, 157?
You can find a detailed procedure to find GCD of 307, 315, 470, 157 on our page.
3. How to find GCD of 307, 315, 470, 157 on a calculator?
You can find the GCD of 307, 315, 470, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.