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, 697, 242, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 697, 242, 895 is 1
GCD(360, 697, 242, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 697, 242, 895 is 1
GCD(360, 697, 242, 895) = 1
Given Input numbers are 360, 697, 242, 895
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 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 360, 697, 242, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 697, 242, 895 is 1.
Therefore, GCD of numbers 360, 697, 242, 895 is 1
Given Input Data is 360, 697, 242, 895
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 697 is 17 x 41
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 895 is 5 x 179
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, 697) = 250920
GCD(360, 697) = ( 360 x 697 ) / 250920
GCD(360, 697) = 250920 / 250920
GCD(360, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 895) = 895
GCD(1, 895) = ( 1 x 895 ) / 895
GCD(1, 895) = 895 / 895
GCD(1, 895) = 1
GCD of 360, 697, 242, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 697, 242, 895?
GCD of 360, 697, 242, 895 is 1
2. Where do I get the detailed procedure to find GCD of 360, 697, 242, 895?
You can find a detailed procedure to find GCD of 360, 697, 242, 895 on our page.
3. How to find GCD of 360, 697, 242, 895 on a calculator?
You can find the GCD of 360, 697, 242, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.