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 114, 953, 60, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 953, 60, 885 is 1
GCD(114, 953, 60, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 953, 60, 885 is 1
GCD(114, 953, 60, 885) = 1
Given Input numbers are 114, 953, 60, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 114, 953, 60, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 953, 60, 885 is 1.
Therefore, GCD of numbers 114, 953, 60, 885 is 1
Given Input Data is 114, 953, 60, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 953 is 953
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 885 is 3 x 5 x 59
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(114, 953) = 108642
GCD(114, 953) = ( 114 x 953 ) / 108642
GCD(114, 953) = 108642 / 108642
GCD(114, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 885) = 885
GCD(1, 885) = ( 1 x 885 ) / 885
GCD(1, 885) = 885 / 885
GCD(1, 885) = 1
GCD of 114, 953, 60, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 953, 60, 885?
GCD of 114, 953, 60, 885 is 1
2. Where do I get the detailed procedure to find GCD of 114, 953, 60, 885?
You can find a detailed procedure to find GCD of 114, 953, 60, 885 on our page.
3. How to find GCD of 114, 953, 60, 885 on a calculator?
You can find the GCD of 114, 953, 60, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.