GCD of 738, 547, 42, 126 Calculator

Given Input numbers are 738, 547, 42, 126

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 738, 547, 42, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 547, 42, 126 is 1.

Therefore, GCD of numbers 738, 547, 42, 126 is 1

Given Input Data is 738, 547, 42, 126

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 547 is 547

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 126 is 2 x 3 x 3 x 7

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(738, 547) = 403686

GCD(738, 547) = ( 738 x 547 ) / 403686

GCD(738, 547) = 403686 / 403686

GCD(738, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 738, 547, 42, 126 is 1

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1. What is the GCD of 738, 547, 42, 126?

GCD of 738, 547, 42, 126 is 1

2. Where do I get the detailed procedure to find GCD of 738, 547, 42, 126?

You can find a detailed procedure to find GCD of 738, 547, 42, 126 on our page.

3. How to find GCD of 738, 547, 42, 126 on a calculator?

You can find the GCD of 738, 547, 42, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.