GCD of 252, 116, 17, 134 Calculator

Given Input numbers are 252, 116, 17, 134

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 252, 116, 17, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 116, 17, 134 is 1.

Therefore, GCD of numbers 252, 116, 17, 134 is 1

Given Input Data is 252, 116, 17, 134

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 17 is 17

Prime Factorization of 134 is 2 x 67

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(252, 116) = 7308

GCD(252, 116) = ( 252 x 116 ) / 7308

GCD(252, 116) = 29232 / 7308

GCD(252, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 17

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

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

GCD(4, 17) = 68 / 68

GCD(4, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 252, 116, 17, 134 is 1

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• GCD of 278, 104, 43, 205
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• GCD of 482, 123, 93, 793

1. What is the GCD of 252, 116, 17, 134?

GCD of 252, 116, 17, 134 is 1

2. Where do I get the detailed procedure to find GCD of 252, 116, 17, 134?

You can find a detailed procedure to find GCD of 252, 116, 17, 134 on our page.

3. How to find GCD of 252, 116, 17, 134 on a calculator?

You can find the GCD of 252, 116, 17, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.