GCD of 720, 177, 48, 632 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 720, 177, 48, 632 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 177, 48, 632 is 1

GCD(720, 177, 48, 632) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 720, 177, 48, 632 is 1

GCD(720, 177, 48, 632) = 1

GCD of 720,177,48,632 Calculator

GCDof 720,177,48,632 is 1

Given Input numbers are 720, 177, 48, 632

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 720, 177, 48, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 177, 48, 632 is 1.

Therefore, GCD of numbers 720, 177, 48, 632 is 1

Finding GCD of 720, 177, 48, 632 using Prime Factorization

Given Input Data is 720, 177, 48, 632

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 177 is 3 x 59

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 632 is 2 x 2 x 2 x 79

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 720, 177, 48, 632 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(720, 177) = 42480

GCD(720, 177) = ( 720 x 177 ) / 42480

GCD(720, 177) = 127440 / 42480

GCD(720, 177) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 632

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 632) = 1896

GCD(3, 632) = ( 3 x 632 ) / 1896

GCD(3, 632) = 1896 / 1896

GCD(3, 632) = 1

GCD of 720, 177, 48, 632 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 177, 48, 632

1. What is the GCD of 720, 177, 48, 632?

GCD of 720, 177, 48, 632 is 1


2. Where do I get the detailed procedure to find GCD of 720, 177, 48, 632?

You can find a detailed procedure to find GCD of 720, 177, 48, 632 on our page.


3. How to find GCD of 720, 177, 48, 632 on a calculator?

You can find the GCD of 720, 177, 48, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.