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 865, 560, 212, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 560, 212, 110 is 1
GCD(865, 560, 212, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 560, 212, 110 is 1
GCD(865, 560, 212, 110) = 1
Given Input numbers are 865, 560, 212, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
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 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 865, 560, 212, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 560, 212, 110 is 1.
Therefore, GCD of numbers 865, 560, 212, 110 is 1
Given Input Data is 865, 560, 212, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 110 is 2 x 5 x 11
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(865, 560) = 96880
GCD(865, 560) = ( 865 x 560 ) / 96880
GCD(865, 560) = 484400 / 96880
GCD(865, 560) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 212) = 1060
GCD(5, 212) = ( 5 x 212 ) / 1060
GCD(5, 212) = 1060 / 1060
GCD(5, 212) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 865, 560, 212, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 560, 212, 110?
GCD of 865, 560, 212, 110 is 1
2. Where do I get the detailed procedure to find GCD of 865, 560, 212, 110?
You can find a detailed procedure to find GCD of 865, 560, 212, 110 on our page.
3. How to find GCD of 865, 560, 212, 110 on a calculator?
You can find the GCD of 865, 560, 212, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.