GCD of 252, 419, 140, 184 Calculator

Given Input numbers are 252, 419, 140, 184

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 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 252, 419, 140, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 419, 140, 184 is 1.

Therefore, GCD of numbers 252, 419, 140, 184 is 1

Given Input Data is 252, 419, 140, 184

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 419 is 419

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 184 is 2 x 2 x 2 x 23

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, 419) = 105588

GCD(252, 419) = ( 252 x 419 ) / 105588

GCD(252, 419) = 105588 / 105588

GCD(252, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 252, 419, 140, 184 is 1

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1. What is the GCD of 252, 419, 140, 184?

GCD of 252, 419, 140, 184 is 1

2. Where do I get the detailed procedure to find GCD of 252, 419, 140, 184?

You can find a detailed procedure to find GCD of 252, 419, 140, 184 on our page.

3. How to find GCD of 252, 419, 140, 184 on a calculator?

You can find the GCD of 252, 419, 140, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.