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 115, 537, 69, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 537, 69, 464 is 1
GCD(115, 537, 69, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 537, 69, 464 is 1
GCD(115, 537, 69, 464) = 1
Given Input numbers are 115, 537, 69, 464
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 115, 537, 69, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 537, 69, 464 is 1.
Therefore, GCD of numbers 115, 537, 69, 464 is 1
Given Input Data is 115, 537, 69, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 537 is 3 x 179
Prime Factorization of 69 is 3 x 23
Prime Factorization of 464 is 2 x 2 x 2 x 2 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(115, 537) = 61755
GCD(115, 537) = ( 115 x 537 ) / 61755
GCD(115, 537) = 61755 / 61755
GCD(115, 537) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 115, 537, 69, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 537, 69, 464?
GCD of 115, 537, 69, 464 is 1
2. Where do I get the detailed procedure to find GCD of 115, 537, 69, 464?
You can find a detailed procedure to find GCD of 115, 537, 69, 464 on our page.
3. How to find GCD of 115, 537, 69, 464 on a calculator?
You can find the GCD of 115, 537, 69, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.