GCD of 544, 142, 829 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 544, 142, 829 i.e. 1 largest integer that divides all the numbers equally.

GCD of 544, 142, 829 is 1

GCD(544, 142, 829) = 1

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

GCD of

GCD of numbers 544, 142, 829 is 1

GCD(544, 142, 829) = 1

GCD of 544,142,829 Calculator

GCDof 544,142,829 is 1

Given Input numbers are 544, 142, 829

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 544, 142, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 142, 829 is 1.

Therefore, GCD of numbers 544, 142, 829 is 1

Finding GCD of 544, 142, 829 using Prime Factorization

Given Input Data is 544, 142, 829

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 142 is 2 x 71

Prime Factorization of 829 is 829

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

Finding GCD of 544, 142, 829 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(544, 142) = 38624

GCD(544, 142) = ( 544 x 142 ) / 38624

GCD(544, 142) = 77248 / 38624

GCD(544, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 544, 142, 829 is 1

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FAQs on GCD of numbers 544, 142, 829

1. What is the GCD of 544, 142, 829?

GCD of 544, 142, 829 is 1

2. Where do I get the detailed procedure to find GCD of 544, 142, 829?

You can find a detailed procedure to find GCD of 544, 142, 829 on our page.

3. How to find GCD of 544, 142, 829 on a calculator?

You can find the GCD of 544, 142, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.