GCD of 542, 473, 726, 138 Calculator

Given Input numbers are 542, 473, 726, 138

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 542, 473, 726, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 473, 726, 138 is 1.

Therefore, GCD of numbers 542, 473, 726, 138 is 1

Given Input Data is 542, 473, 726, 138

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 473 is 11 x 43

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 138 is 2 x 3 x 23

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(542, 473) = 256366

GCD(542, 473) = ( 542 x 473 ) / 256366

GCD(542, 473) = 256366 / 256366

GCD(542, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 542, 473, 726, 138 is 1

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1. What is the GCD of 542, 473, 726, 138?

GCD of 542, 473, 726, 138 is 1

2. Where do I get the detailed procedure to find GCD of 542, 473, 726, 138?

You can find a detailed procedure to find GCD of 542, 473, 726, 138 on our page.

3. How to find GCD of 542, 473, 726, 138 on a calculator?

You can find the GCD of 542, 473, 726, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.