GCD of 752, 906, 163, 542 Calculator

Given Input numbers are 752, 906, 163, 542

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 542

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

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 752, 906, 163, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 906, 163, 542 is 1.

Therefore, GCD of numbers 752, 906, 163, 542 is 1

Given Input Data is 752, 906, 163, 542

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 163 is 163

Prime Factorization of 542 is 2 x 271

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(752, 906) = 340656

GCD(752, 906) = ( 752 x 906 ) / 340656

GCD(752, 906) = 681312 / 340656

GCD(752, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 752, 906, 163, 542 is 1

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1. What is the GCD of 752, 906, 163, 542?

GCD of 752, 906, 163, 542 is 1

2. Where do I get the detailed procedure to find GCD of 752, 906, 163, 542?

You can find a detailed procedure to find GCD of 752, 906, 163, 542 on our page.

3. How to find GCD of 752, 906, 163, 542 on a calculator?

You can find the GCD of 752, 906, 163, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.