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 672, 324, 318, 532 i.e. 2 largest integer that divides all the numbers equally.
GCD of 672, 324, 318, 532 is 2
GCD(672, 324, 318, 532) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 324, 318, 532 is 2
GCD(672, 324, 318, 532) = 2
Given Input numbers are 672, 324, 318, 532
To find the GCD of numbers using factoring list out all the divisors of each number
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 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 672, 324, 318, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 324, 318, 532 is 2.
Therefore, GCD of numbers 672, 324, 318, 532 is 2
Given Input Data is 672, 324, 318, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 532 is 2 x 2 x 7 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(672, 324) = 18144
GCD(672, 324) = ( 672 x 324 ) / 18144
GCD(672, 324) = 217728 / 18144
GCD(672, 324) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 318) = 636
GCD(12, 318) = ( 12 x 318 ) / 636
GCD(12, 318) = 3816 / 636
GCD(12, 318) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 532) = 1596
GCD(6, 532) = ( 6 x 532 ) / 1596
GCD(6, 532) = 3192 / 1596
GCD(6, 532) = 2
GCD of 672, 324, 318, 532 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 672, 324, 318, 532?
GCD of 672, 324, 318, 532 is 2
2. Where do I get the detailed procedure to find GCD of 672, 324, 318, 532?
You can find a detailed procedure to find GCD of 672, 324, 318, 532 on our page.
3. How to find GCD of 672, 324, 318, 532 on a calculator?
You can find the GCD of 672, 324, 318, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.