GCD of 48, 252, 473, 372 Calculator

Given Input numbers are 48, 252, 473, 372

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

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 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 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 48, 252, 473, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 252, 473, 372 is 1.

Therefore, GCD of numbers 48, 252, 473, 372 is 1

Given Input Data is 48, 252, 473, 372

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

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

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(48, 252) = 1008

GCD(48, 252) = ( 48 x 252 ) / 1008

GCD(48, 252) = 12096 / 1008

GCD(48, 252) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 473

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

LCM(12, 473) = 5676

GCD(12, 473) = ( 12 x 473 ) / 5676

GCD(12, 473) = 5676 / 5676

GCD(12, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 372

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

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

GCD(1, 372) = 372 / 372

GCD(1, 372) = 1

GCD of 48, 252, 473, 372 is 1

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• GCD of 55, 872, 295, 217
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• GCD of 75, 269, 928, 716

1. What is the GCD of 48, 252, 473, 372?

GCD of 48, 252, 473, 372 is 1

2. Where do I get the detailed procedure to find GCD of 48, 252, 473, 372?

You can find a detailed procedure to find GCD of 48, 252, 473, 372 on our page.

3. How to find GCD of 48, 252, 473, 372 on a calculator?

You can find the GCD of 48, 252, 473, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.