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, 885, 84, 681 i.e. 3 largest integer that divides all the numbers equally.
GCD of 612, 885, 84, 681 is 3
GCD(612, 885, 84, 681) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 885, 84, 681 is 3
GCD(612, 885, 84, 681) = 3
Given Input numbers are 612, 885, 84, 681
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 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
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 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 612, 885, 84, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 885, 84, 681 is 3.
Therefore, GCD of numbers 612, 885, 84, 681 is 3
Given Input Data is 612, 885, 84, 681
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 885 is 3 x 5 x 59
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 681 is 3 x 227
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 885) = 180540
GCD(612, 885) = ( 612 x 885 ) / 180540
GCD(612, 885) = 541620 / 180540
GCD(612, 885) = 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 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 681) = 681
GCD(3, 681) = ( 3 x 681 ) / 681
GCD(3, 681) = 2043 / 681
GCD(3, 681) = 3
GCD of 612, 885, 84, 681 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 885, 84, 681?
GCD of 612, 885, 84, 681 is 3
2. Where do I get the detailed procedure to find GCD of 612, 885, 84, 681?
You can find a detailed procedure to find GCD of 612, 885, 84, 681 on our page.
3. How to find GCD of 612, 885, 84, 681 on a calculator?
You can find the GCD of 612, 885, 84, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.