GCD of 273, 292, 82, 742 Calculator

Given Input numbers are 273, 292, 82, 742

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 273, 292, 82, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 292, 82, 742 is 1.

Therefore, GCD of numbers 273, 292, 82, 742 is 1

Given Input Data is 273, 292, 82, 742

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 82 is 2 x 41

Prime Factorization of 742 is 2 x 7 x 53

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

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(273, 292) = 79716

GCD(273, 292) = ( 273 x 292 ) / 79716

GCD(273, 292) = 79716 / 79716

GCD(273, 292) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 273, 292, 82, 742 is 1

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1. What is the GCD of 273, 292, 82, 742?

GCD of 273, 292, 82, 742 is 1

2. Where do I get the detailed procedure to find GCD of 273, 292, 82, 742?

You can find a detailed procedure to find GCD of 273, 292, 82, 742 on our page.

3. How to find GCD of 273, 292, 82, 742 on a calculator?

You can find the GCD of 273, 292, 82, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.