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 612, 669, 84, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 669, 84, 316 is 1
GCD(612, 669, 84, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 669, 84, 316 is 1
GCD(612, 669, 84, 316) = 1
Given Input numbers are 612, 669, 84, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 612, 669, 84, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 669, 84, 316 is 1.
Therefore, GCD of numbers 612, 669, 84, 316 is 1
Given Input Data is 612, 669, 84, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 669 is 3 x 223
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 316 is 2 x 2 x 79
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(612, 669) = 136476
GCD(612, 669) = ( 612 x 669 ) / 136476
GCD(612, 669) = 409428 / 136476
GCD(612, 669) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 84) = 84
GCD(3, 84) = ( 3 x 84 ) / 84
GCD(3, 84) = 252 / 84
GCD(3, 84) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 316) = 948
GCD(3, 316) = ( 3 x 316 ) / 948
GCD(3, 316) = 948 / 948
GCD(3, 316) = 1
GCD of 612, 669, 84, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 669, 84, 316?
GCD of 612, 669, 84, 316 is 1
2. Where do I get the detailed procedure to find GCD of 612, 669, 84, 316?
You can find a detailed procedure to find GCD of 612, 669, 84, 316 on our page.
3. How to find GCD of 612, 669, 84, 316 on a calculator?
You can find the GCD of 612, 669, 84, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.