GCD of 448, 909, 532, 707 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 448, 909, 532, 707 i.e. 1 largest integer that divides all the numbers equally.

GCD of 448, 909, 532, 707 is 1

GCD(448, 909, 532, 707) = 1

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

GCD of

GCD of numbers 448, 909, 532, 707 is 1

GCD(448, 909, 532, 707) = 1

GCD of 448,909,532,707 Calculator

GCDof 448,909,532,707 is 1

Given Input numbers are 448, 909, 532, 707

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 448, 909, 532, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 909, 532, 707 is 1.

Therefore, GCD of numbers 448, 909, 532, 707 is 1

Finding GCD of 448, 909, 532, 707 using Prime Factorization

Given Input Data is 448, 909, 532, 707

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 707 is 7 x 101

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

Finding GCD of 448, 909, 532, 707 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(448, 909) = 407232

GCD(448, 909) = ( 448 x 909 ) / 407232

GCD(448, 909) = 407232 / 407232

GCD(448, 909) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 448, 909, 532, 707 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 448, 909, 532, 707

1. What is the GCD of 448, 909, 532, 707?

GCD of 448, 909, 532, 707 is 1


2. Where do I get the detailed procedure to find GCD of 448, 909, 532, 707?

You can find a detailed procedure to find GCD of 448, 909, 532, 707 on our page.


3. How to find GCD of 448, 909, 532, 707 on a calculator?

You can find the GCD of 448, 909, 532, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.