GCD of 548, 748, 642, 481 Calculator

Given Input numbers are 548, 748, 642, 481

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 548, 748, 642, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 748, 642, 481 is 1.

Therefore, GCD of numbers 548, 748, 642, 481 is 1

Given Input Data is 548, 748, 642, 481

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 481 is 13 x 37

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(548, 748) = 102476

GCD(548, 748) = ( 548 x 748 ) / 102476

GCD(548, 748) = 409904 / 102476

GCD(548, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 642

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

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

GCD(4, 642) = 2568 / 1284

GCD(4, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 481

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

LCM(2, 481) = 962

GCD(2, 481) = ( 2 x 481 ) / 962

GCD(2, 481) = 962 / 962

GCD(2, 481) = 1

GCD of 548, 748, 642, 481 is 1

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1. What is the GCD of 548, 748, 642, 481?

GCD of 548, 748, 642, 481 is 1

2. Where do I get the detailed procedure to find GCD of 548, 748, 642, 481?

You can find a detailed procedure to find GCD of 548, 748, 642, 481 on our page.

3. How to find GCD of 548, 748, 642, 481 on a calculator?

You can find the GCD of 548, 748, 642, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.