GCD of 528, 429, 304, 140 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 528, 429, 304, 140 i.e. 1 largest integer that divides all the numbers equally.

GCD of 528, 429, 304, 140 is 1

GCD(528, 429, 304, 140) = 1

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

GCD of

GCD of numbers 528, 429, 304, 140 is 1

GCD(528, 429, 304, 140) = 1

GCD of 528,429,304,140 Calculator

GCDof 528,429,304,140 is 1

Given Input numbers are 528, 429, 304, 140

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 528, 429, 304, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 429, 304, 140 is 1.

Therefore, GCD of numbers 528, 429, 304, 140 is 1

Finding GCD of 528, 429, 304, 140 using Prime Factorization

Given Input Data is 528, 429, 304, 140

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 140 is 2 x 2 x 5 x 7

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

Finding GCD of 528, 429, 304, 140 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(528, 429) = 6864

GCD(528, 429) = ( 528 x 429 ) / 6864

GCD(528, 429) = 226512 / 6864

GCD(528, 429) = 33


Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 304

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

LCM(33, 304) = 10032

GCD(33, 304) = ( 33 x 304 ) / 10032

GCD(33, 304) = 10032 / 10032

GCD(33, 304) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 528, 429, 304, 140 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 528, 429, 304, 140

1. What is the GCD of 528, 429, 304, 140?

GCD of 528, 429, 304, 140 is 1


2. Where do I get the detailed procedure to find GCD of 528, 429, 304, 140?

You can find a detailed procedure to find GCD of 528, 429, 304, 140 on our page.


3. How to find GCD of 528, 429, 304, 140 on a calculator?

You can find the GCD of 528, 429, 304, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.