GCD of 637, 112, 199, 551 Calculator

Given Input numbers are 637, 112, 199, 551

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

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 637, 112, 199, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 112, 199, 551 is 1.

Therefore, GCD of numbers 637, 112, 199, 551 is 1

Given Input Data is 637, 112, 199, 551

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 199 is 199

Prime Factorization of 551 is 19 x 29

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(637, 112) = 10192

GCD(637, 112) = ( 637 x 112 ) / 10192

GCD(637, 112) = 71344 / 10192

GCD(637, 112) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 199

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

LCM(7, 199) = 1393

GCD(7, 199) = ( 7 x 199 ) / 1393

GCD(7, 199) = 1393 / 1393

GCD(7, 199) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 551

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

LCM(1, 551) = 551

GCD(1, 551) = ( 1 x 551 ) / 551

GCD(1, 551) = 551 / 551

GCD(1, 551) = 1

GCD of 637, 112, 199, 551 is 1

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1. What is the GCD of 637, 112, 199, 551?

GCD of 637, 112, 199, 551 is 1

2. Where do I get the detailed procedure to find GCD of 637, 112, 199, 551?

You can find a detailed procedure to find GCD of 637, 112, 199, 551 on our page.

3. How to find GCD of 637, 112, 199, 551 on a calculator?

You can find the GCD of 637, 112, 199, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.