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 427, 720, 915, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 720, 915, 261 is 1
GCD(427, 720, 915, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 720, 915, 261 is 1
GCD(427, 720, 915, 261) = 1
Given Input numbers are 427, 720, 915, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
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 427, 720, 915, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 720, 915, 261 is 1.
Therefore, GCD of numbers 427, 720, 915, 261 is 1
Given Input Data is 427, 720, 915, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 915 is 3 x 5 x 61
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(427, 720) = 307440
GCD(427, 720) = ( 427 x 720 ) / 307440
GCD(427, 720) = 307440 / 307440
GCD(427, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 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 427, 720, 915, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 720, 915, 261?
GCD of 427, 720, 915, 261 is 1
2. Where do I get the detailed procedure to find GCD of 427, 720, 915, 261?
You can find a detailed procedure to find GCD of 427, 720, 915, 261 on our page.
3. How to find GCD of 427, 720, 915, 261 on a calculator?
You can find the GCD of 427, 720, 915, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.