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 91, 560, 405, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 560, 405, 987 is 1
GCD(91, 560, 405, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 560, 405, 987 is 1
GCD(91, 560, 405, 987) = 1
Given Input numbers are 91, 560, 405, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 91, 560, 405, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 560, 405, 987 is 1.
Therefore, GCD of numbers 91, 560, 405, 987 is 1
Given Input Data is 91, 560, 405, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 987 is 3 x 7 x 47
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(91, 560) = 7280
GCD(91, 560) = ( 91 x 560 ) / 7280
GCD(91, 560) = 50960 / 7280
GCD(91, 560) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 405) = 2835
GCD(7, 405) = ( 7 x 405 ) / 2835
GCD(7, 405) = 2835 / 2835
GCD(7, 405) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 91, 560, 405, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 560, 405, 987?
GCD of 91, 560, 405, 987 is 1
2. Where do I get the detailed procedure to find GCD of 91, 560, 405, 987?
You can find a detailed procedure to find GCD of 91, 560, 405, 987 on our page.
3. How to find GCD of 91, 560, 405, 987 on a calculator?
You can find the GCD of 91, 560, 405, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.