GCD of 474, 992, 207, 252 Calculator

Given Input numbers are 474, 992, 207, 252

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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

Greatest Common Divisior

We found the divisors of 474, 992, 207, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 992, 207, 252 is 1.

Therefore, GCD of numbers 474, 992, 207, 252 is 1

Given Input Data is 474, 992, 207, 252

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 207 is 3 x 3 x 23

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

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(474, 992) = 235104

GCD(474, 992) = ( 474 x 992 ) / 235104

GCD(474, 992) = 470208 / 235104

GCD(474, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 474, 992, 207, 252 is 1

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1. What is the GCD of 474, 992, 207, 252?

GCD of 474, 992, 207, 252 is 1

2. Where do I get the detailed procedure to find GCD of 474, 992, 207, 252?

You can find a detailed procedure to find GCD of 474, 992, 207, 252 on our page.

3. How to find GCD of 474, 992, 207, 252 on a calculator?

You can find the GCD of 474, 992, 207, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.