GCD of 630, 752, 452, 480 Calculator

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

GCD of numbers 630, 752, 452, 480 is 2

GCD(630, 752, 452, 480) = 2

GCD of 630,752,452,480 Calculator

GCDof 630,752,452,480 is 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

Finding GCD of 630, 752, 452, 480 using Prime Factorization

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

Finding GCD of 630, 752, 452, 480 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 630, 752, 452, 480

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.