GCD of 677, 529, 21, 224 Calculator

Given Input numbers are 677, 529, 21, 224

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 677, 529, 21, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 529, 21, 224 is 1.

Therefore, GCD of numbers 677, 529, 21, 224 is 1

Given Input Data is 677, 529, 21, 224

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

Prime Factorization of 677 is 677

Prime Factorization of 529 is 23 x 23

Prime Factorization of 21 is 3 x 7

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(677, 529) = 358133

GCD(677, 529) = ( 677 x 529 ) / 358133

GCD(677, 529) = 358133 / 358133

GCD(677, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 677, 529, 21, 224 is 1

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• GCD of 847, 135, 60, 502
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1. What is the GCD of 677, 529, 21, 224?

GCD of 677, 529, 21, 224 is 1

2. Where do I get the detailed procedure to find GCD of 677, 529, 21, 224?

You can find a detailed procedure to find GCD of 677, 529, 21, 224 on our page.

3. How to find GCD of 677, 529, 21, 224 on a calculator?

You can find the GCD of 677, 529, 21, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.