GCD of 229, 525, 28, 674 Calculator

Given Input numbers are 229, 525, 28, 674

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 229, 525, 28, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 525, 28, 674 is 1.

Therefore, GCD of numbers 229, 525, 28, 674 is 1

Given Input Data is 229, 525, 28, 674

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

Prime Factorization of 229 is 229

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 674 is 2 x 337

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(229, 525) = 120225

GCD(229, 525) = ( 229 x 525 ) / 120225

GCD(229, 525) = 120225 / 120225

GCD(229, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 229, 525, 28, 674 is 1

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1. What is the GCD of 229, 525, 28, 674?

GCD of 229, 525, 28, 674 is 1

2. Where do I get the detailed procedure to find GCD of 229, 525, 28, 674?

You can find a detailed procedure to find GCD of 229, 525, 28, 674 on our page.

3. How to find GCD of 229, 525, 28, 674 on a calculator?

You can find the GCD of 229, 525, 28, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.