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 315, 709, 37, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 709, 37, 261 is 1
GCD(315, 709, 37, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 709, 37, 261 is 1
GCD(315, 709, 37, 261) = 1
Given Input numbers are 315, 709, 37, 261
To find the GCD of numbers using factoring list out all the divisors of each number
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 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 315, 709, 37, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 709, 37, 261 is 1.
Therefore, GCD of numbers 315, 709, 37, 261 is 1
Given Input Data is 315, 709, 37, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 709 is 709
Prime Factorization of 37 is 37
Prime Factorization of 261 is 3 x 3 x 29
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(315, 709) = 223335
GCD(315, 709) = ( 315 x 709 ) / 223335
GCD(315, 709) = 223335 / 223335
GCD(315, 709) = 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 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 315, 709, 37, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 709, 37, 261?
GCD of 315, 709, 37, 261 is 1
2. Where do I get the detailed procedure to find GCD of 315, 709, 37, 261?
You can find a detailed procedure to find GCD of 315, 709, 37, 261 on our page.
3. How to find GCD of 315, 709, 37, 261 on a calculator?
You can find the GCD of 315, 709, 37, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.