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 285, 302, 12, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 302, 12, 977 is 1
GCD(285, 302, 12, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 302, 12, 977 is 1
GCD(285, 302, 12, 977) = 1
Given Input numbers are 285, 302, 12, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 285, 302, 12, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 302, 12, 977 is 1.
Therefore, GCD of numbers 285, 302, 12, 977 is 1
Given Input Data is 285, 302, 12, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 302 is 2 x 151
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 977 is 977
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(285, 302) = 86070
GCD(285, 302) = ( 285 x 302 ) / 86070
GCD(285, 302) = 86070 / 86070
GCD(285, 302) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
GCD of 285, 302, 12, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 302, 12, 977?
GCD of 285, 302, 12, 977 is 1
2. Where do I get the detailed procedure to find GCD of 285, 302, 12, 977?
You can find a detailed procedure to find GCD of 285, 302, 12, 977 on our page.
3. How to find GCD of 285, 302, 12, 977 on a calculator?
You can find the GCD of 285, 302, 12, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.