GCD of 546, 143, 742 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 546, 143, 742 i.e. 1 largest integer that divides all the numbers equally.

GCD of 546, 143, 742 is 1

GCD(546, 143, 742) = 1

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

GCD of

GCD of numbers 546, 143, 742 is 1

GCD(546, 143, 742) = 1

GCD of 546,143,742 Calculator

GCDof 546,143,742 is 1

Given Input numbers are 546, 143, 742

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 546, 143, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 143, 742 is 1.

Therefore, GCD of numbers 546, 143, 742 is 1

Finding GCD of 546, 143, 742 using Prime Factorization

Given Input Data is 546, 143, 742

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 143 is 11 x 13

Prime Factorization of 742 is 2 x 7 x 53

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

Finding GCD of 546, 143, 742 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(546, 143) = 6006

GCD(546, 143) = ( 546 x 143 ) / 6006

GCD(546, 143) = 78078 / 6006

GCD(546, 143) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 742

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

LCM(13, 742) = 9646

GCD(13, 742) = ( 13 x 742 ) / 9646

GCD(13, 742) = 9646 / 9646

GCD(13, 742) = 1

GCD of 546, 143, 742 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 546, 143, 742

1. What is the GCD of 546, 143, 742?

GCD of 546, 143, 742 is 1

2. Where do I get the detailed procedure to find GCD of 546, 143, 742?

You can find a detailed procedure to find GCD of 546, 143, 742 on our page.

3. How to find GCD of 546, 143, 742 on a calculator?

You can find the GCD of 546, 143, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.