GCD of 553, 875, 422, 838 Calculator

Given Input numbers are 553, 875, 422, 838

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 553, 875, 422, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 875, 422, 838 is 1.

Therefore, GCD of numbers 553, 875, 422, 838 is 1

Given Input Data is 553, 875, 422, 838

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 422 is 2 x 211

Prime Factorization of 838 is 2 x 419

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(553, 875) = 69125

GCD(553, 875) = ( 553 x 875 ) / 69125

GCD(553, 875) = 483875 / 69125

GCD(553, 875) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 422

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

LCM(7, 422) = 2954

GCD(7, 422) = ( 7 x 422 ) / 2954

GCD(7, 422) = 2954 / 2954

GCD(7, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 553, 875, 422, 838 is 1

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1. What is the GCD of 553, 875, 422, 838?

GCD of 553, 875, 422, 838 is 1

2. Where do I get the detailed procedure to find GCD of 553, 875, 422, 838?

You can find a detailed procedure to find GCD of 553, 875, 422, 838 on our page.

3. How to find GCD of 553, 875, 422, 838 on a calculator?

You can find the GCD of 553, 875, 422, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.