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 752, 520, 360, 584 i.e. 8 largest integer that divides all the numbers equally.
GCD of 752, 520, 360, 584 is 8
GCD(752, 520, 360, 584) = 8
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 520, 360, 584 is 8
GCD(752, 520, 360, 584) = 8
Given Input numbers are 752, 520, 360, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 752, 520, 360, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 520, 360, 584 is 8.
Therefore, GCD of numbers 752, 520, 360, 584 is 8
Given Input Data is 752, 520, 360, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 584 is 2 x 2 x 2 x 73
Highest common occurrences in the given inputs are 23
Multiplying them we get the GCD as 8
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(752, 520) = 48880
GCD(752, 520) = ( 752 x 520 ) / 48880
GCD(752, 520) = 391040 / 48880
GCD(752, 520) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 360) = 360
GCD(8, 360) = ( 8 x 360 ) / 360
GCD(8, 360) = 2880 / 360
GCD(8, 360) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 584) = 584
GCD(8, 584) = ( 8 x 584 ) / 584
GCD(8, 584) = 4672 / 584
GCD(8, 584) = 8
GCD of 752, 520, 360, 584 is 8
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 520, 360, 584?
GCD of 752, 520, 360, 584 is 8
2. Where do I get the detailed procedure to find GCD of 752, 520, 360, 584?
You can find a detailed procedure to find GCD of 752, 520, 360, 584 on our page.
3. How to find GCD of 752, 520, 360, 584 on a calculator?
You can find the GCD of 752, 520, 360, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.