GCD of 553, 575, 899, 164 Calculator

Given Input numbers are 553, 575, 899, 164

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 553, 575, 899, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 575, 899, 164 is 1.

Therefore, GCD of numbers 553, 575, 899, 164 is 1

Given Input Data is 553, 575, 899, 164

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 899 is 29 x 31

Prime Factorization of 164 is 2 x 2 x 41

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, 575) = 317975

GCD(553, 575) = ( 553 x 575 ) / 317975

GCD(553, 575) = 317975 / 317975

GCD(553, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 553, 575, 899, 164 is 1

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1. What is the GCD of 553, 575, 899, 164?

GCD of 553, 575, 899, 164 is 1

2. Where do I get the detailed procedure to find GCD of 553, 575, 899, 164?

You can find a detailed procedure to find GCD of 553, 575, 899, 164 on our page.

3. How to find GCD of 553, 575, 899, 164 on a calculator?

You can find the GCD of 553, 575, 899, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.