GCD of 252, 915, 198, 103 Calculator

Given Input numbers are 252, 915, 198, 103

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 252, 915, 198, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 915, 198, 103 is 1.

Therefore, GCD of numbers 252, 915, 198, 103 is 1

Given Input Data is 252, 915, 198, 103

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 915 is 3 x 5 x 61

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 103 is 103

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, 915) = 76860

GCD(252, 915) = ( 252 x 915 ) / 76860

GCD(252, 915) = 230580 / 76860

GCD(252, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 198

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

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

GCD(3, 198) = 594 / 198

GCD(3, 198) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1

GCD of 252, 915, 198, 103 is 1

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• GCD of 778, 885, 405, 599
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1. What is the GCD of 252, 915, 198, 103?

GCD of 252, 915, 198, 103 is 1

2. Where do I get the detailed procedure to find GCD of 252, 915, 198, 103?

You can find a detailed procedure to find GCD of 252, 915, 198, 103 on our page.

3. How to find GCD of 252, 915, 198, 103 on a calculator?

You can find the GCD of 252, 915, 198, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.