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, 672, 30, 594 i.e. 3 largest integer that divides all the numbers equally.
GCD of 681, 672, 30, 594 is 3
GCD(681, 672, 30, 594) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 672, 30, 594 is 3
GCD(681, 672, 30, 594) = 3
Given Input numbers are 681, 672, 30, 594
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 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Greatest Common Divisior
We found the divisors of 681, 672, 30, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 672, 30, 594 is 3.
Therefore, GCD of numbers 681, 672, 30, 594 is 3
Given Input Data is 681, 672, 30, 594
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
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, 672) = 152544
GCD(681, 672) = ( 681 x 672 ) / 152544
GCD(681, 672) = 457632 / 152544
GCD(681, 672) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
GCD(3, 30) = 90 / 30
GCD(3, 30) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 594
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 594) = 594
GCD(3, 594) = ( 3 x 594 ) / 594
GCD(3, 594) = 1782 / 594
GCD(3, 594) = 3
GCD of 681, 672, 30, 594 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 672, 30, 594?
GCD of 681, 672, 30, 594 is 3
2. Where do I get the detailed procedure to find GCD of 681, 672, 30, 594?
You can find a detailed procedure to find GCD of 681, 672, 30, 594 on our page.
3. How to find GCD of 681, 672, 30, 594 on a calculator?
You can find the GCD of 681, 672, 30, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.