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 984, 560, 55, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 560, 55, 913 is 1
GCD(984, 560, 55, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 560, 55, 913 is 1
GCD(984, 560, 55, 913) = 1
Given Input numbers are 984, 560, 55, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
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 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 984, 560, 55, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 560, 55, 913 is 1.
Therefore, GCD of numbers 984, 560, 55, 913 is 1
Given Input Data is 984, 560, 55, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 55 is 5 x 11
Prime Factorization of 913 is 11 x 83
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(984, 560) = 68880
GCD(984, 560) = ( 984 x 560 ) / 68880
GCD(984, 560) = 551040 / 68880
GCD(984, 560) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 55) = 440
GCD(8, 55) = ( 8 x 55 ) / 440
GCD(8, 55) = 440 / 440
GCD(8, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 984, 560, 55, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 560, 55, 913?
GCD of 984, 560, 55, 913 is 1
2. Where do I get the detailed procedure to find GCD of 984, 560, 55, 913?
You can find a detailed procedure to find GCD of 984, 560, 55, 913 on our page.
3. How to find GCD of 984, 560, 55, 913 on a calculator?
You can find the GCD of 984, 560, 55, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.