GCD of 102, 558, 65, 152 Calculator

Given Input numbers are 102, 558, 65, 152

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 102, 558, 65, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 558, 65, 152 is 1.

Therefore, GCD of numbers 102, 558, 65, 152 is 1

Given Input Data is 102, 558, 65, 152

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

Prime Factorization of 102 is 2 x 3 x 17

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(102, 558) = 9486

GCD(102, 558) = ( 102 x 558 ) / 9486

GCD(102, 558) = 56916 / 9486

GCD(102, 558) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 65

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

LCM(6, 65) = 390

GCD(6, 65) = ( 6 x 65 ) / 390

GCD(6, 65) = 390 / 390

GCD(6, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 102, 558, 65, 152 is 1

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1. What is the GCD of 102, 558, 65, 152?

GCD of 102, 558, 65, 152 is 1

2. Where do I get the detailed procedure to find GCD of 102, 558, 65, 152?

You can find a detailed procedure to find GCD of 102, 558, 65, 152 on our page.

3. How to find GCD of 102, 558, 65, 152 on a calculator?

You can find the GCD of 102, 558, 65, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.