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 360, 716, 55, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 716, 55, 865 is 1
GCD(360, 716, 55, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 716, 55, 865 is 1
GCD(360, 716, 55, 865) = 1
Given Input numbers are 360, 716, 55, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 360, 716, 55, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 716, 55, 865 is 1.
Therefore, GCD of numbers 360, 716, 55, 865 is 1
Given Input Data is 360, 716, 55, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 55 is 5 x 11
Prime Factorization of 865 is 5 x 173
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(360, 716) = 64440
GCD(360, 716) = ( 360 x 716 ) / 64440
GCD(360, 716) = 257760 / 64440
GCD(360, 716) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 55) = 220
GCD(4, 55) = ( 4 x 55 ) / 220
GCD(4, 55) = 220 / 220
GCD(4, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 360, 716, 55, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 716, 55, 865?
GCD of 360, 716, 55, 865 is 1
2. Where do I get the detailed procedure to find GCD of 360, 716, 55, 865?
You can find a detailed procedure to find GCD of 360, 716, 55, 865 on our page.
3. How to find GCD of 360, 716, 55, 865 on a calculator?
You can find the GCD of 360, 716, 55, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.