GCD of 874, 900, 475, 223 Calculator

Given Input numbers are 874, 900, 475, 223

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 874, 900, 475, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 900, 475, 223 is 1.

Therefore, GCD of numbers 874, 900, 475, 223 is 1

Given Input Data is 874, 900, 475, 223

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 223 is 223

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(874, 900) = 393300

GCD(874, 900) = ( 874 x 900 ) / 393300

GCD(874, 900) = 786600 / 393300

GCD(874, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

GCD of 874, 900, 475, 223 is 1

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• GCD of 689, 622, 735, 136
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1. What is the GCD of 874, 900, 475, 223?

GCD of 874, 900, 475, 223 is 1

2. Where do I get the detailed procedure to find GCD of 874, 900, 475, 223?

You can find a detailed procedure to find GCD of 874, 900, 475, 223 on our page.

3. How to find GCD of 874, 900, 475, 223 on a calculator?

You can find the GCD of 874, 900, 475, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.