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 520, 672, 452 i.e. 4 largest integer that divides all the numbers equally.
GCD of 520, 672, 452 is 4
GCD(520, 672, 452) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 672, 452 is 4
GCD(520, 672, 452) = 4
Given Input numbers are 520, 672, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 520, 672, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 672, 452 is 4.
Therefore, GCD of numbers 520, 672, 452 is 4
Given Input Data is 520, 672, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 452 is 2 x 2 x 113
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(520, 672) = 43680
GCD(520, 672) = ( 520 x 672 ) / 43680
GCD(520, 672) = 349440 / 43680
GCD(520, 672) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 452) = 904
GCD(8, 452) = ( 8 x 452 ) / 904
GCD(8, 452) = 3616 / 904
GCD(8, 452) = 4
GCD of 520, 672, 452 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 672, 452?
GCD of 520, 672, 452 is 4
2. Where do I get the detailed procedure to find GCD of 520, 672, 452?
You can find a detailed procedure to find GCD of 520, 672, 452 on our page.
3. How to find GCD of 520, 672, 452 on a calculator?
You can find the GCD of 520, 672, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.