GCD of 558, 742, 48, 169 Calculator

Given Input numbers are 558, 742, 48, 169

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 558, 742, 48, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 742, 48, 169 is 1.

Therefore, GCD of numbers 558, 742, 48, 169 is 1

Given Input Data is 558, 742, 48, 169

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 169 is 13 x 13

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(558, 742) = 207018

GCD(558, 742) = ( 558 x 742 ) / 207018

GCD(558, 742) = 414036 / 207018

GCD(558, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 558, 742, 48, 169 is 1

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• GCD of 533, 488, 96, 489
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1. What is the GCD of 558, 742, 48, 169?

GCD of 558, 742, 48, 169 is 1

2. Where do I get the detailed procedure to find GCD of 558, 742, 48, 169?

You can find a detailed procedure to find GCD of 558, 742, 48, 169 on our page.

3. How to find GCD of 558, 742, 48, 169 on a calculator?

You can find the GCD of 558, 742, 48, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.