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 312, 284, 35 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 284, 35 is 1
GCD(312, 284, 35) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 284, 35 is 1
GCD(312, 284, 35) = 1
Given Input numbers are 312, 284, 35
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Greatest Common Divisior
We found the divisors of 312, 284, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 284, 35 is 1.
Therefore, GCD of numbers 312, 284, 35 is 1
Given Input Data is 312, 284, 35
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 35 is 5 x 7
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(312, 284) = 22152
GCD(312, 284) = ( 312 x 284 ) / 22152
GCD(312, 284) = 88608 / 22152
GCD(312, 284) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 35) = 140
GCD(4, 35) = ( 4 x 35 ) / 140
GCD(4, 35) = 140 / 140
GCD(4, 35) = 1
GCD of 312, 284, 35 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 284, 35?
GCD of 312, 284, 35 is 1
2. Where do I get the detailed procedure to find GCD of 312, 284, 35?
You can find a detailed procedure to find GCD of 312, 284, 35 on our page.
3. How to find GCD of 312, 284, 35 on a calculator?
You can find the GCD of 312, 284, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.