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 681, 570, 420, 306 i.e. 3 largest integer that divides all the numbers equally.
GCD of 681, 570, 420, 306 is 3
GCD(681, 570, 420, 306) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 570, 420, 306 is 3
GCD(681, 570, 420, 306) = 3
Given Input numbers are 681, 570, 420, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 681, 570, 420, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 570, 420, 306 is 3.
Therefore, GCD of numbers 681, 570, 420, 306 is 3
Given Input Data is 681, 570, 420, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 306 is 2 x 3 x 3 x 17
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(681, 570) = 129390
GCD(681, 570) = ( 681 x 570 ) / 129390
GCD(681, 570) = 388170 / 129390
GCD(681, 570) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 420) = 420
GCD(3, 420) = ( 3 x 420 ) / 420
GCD(3, 420) = 1260 / 420
GCD(3, 420) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 306) = 306
GCD(3, 306) = ( 3 x 306 ) / 306
GCD(3, 306) = 918 / 306
GCD(3, 306) = 3
GCD of 681, 570, 420, 306 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 570, 420, 306?
GCD of 681, 570, 420, 306 is 3
2. Where do I get the detailed procedure to find GCD of 681, 570, 420, 306?
You can find a detailed procedure to find GCD of 681, 570, 420, 306 on our page.
3. How to find GCD of 681, 570, 420, 306 on a calculator?
You can find the GCD of 681, 570, 420, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.