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 630, 752, 452, 480 i.e. 2 largest integer that divides all the numbers equally.
GCD of 630, 752, 452, 480 is 2
GCD(630, 752, 452, 480) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 630, 752, 452, 480 is 2
GCD(630, 752, 452, 480) = 2
Given Input numbers are 630, 752, 452, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 630, 752, 452, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 752, 452, 480 is 2.
Therefore, GCD of numbers 630, 752, 452, 480 is 2
Given Input Data is 630, 752, 452, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(630, 752) = 236880
GCD(630, 752) = ( 630 x 752 ) / 236880
GCD(630, 752) = 473760 / 236880
GCD(630, 752) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
GCD(2, 452) = 904 / 452
GCD(2, 452) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
GCD(2, 480) = 960 / 480
GCD(2, 480) = 2
GCD of 630, 752, 452, 480 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 630, 752, 452, 480?
GCD of 630, 752, 452, 480 is 2
2. Where do I get the detailed procedure to find GCD of 630, 752, 452, 480?
You can find a detailed procedure to find GCD of 630, 752, 452, 480 on our page.
3. How to find GCD of 630, 752, 452, 480 on a calculator?
You can find the GCD of 630, 752, 452, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.