GCD of 677, 221, 924, 563 Calculator

Given Input numbers are 677, 221, 924, 563

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 677, 221, 924, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 221, 924, 563 is 1.

Therefore, GCD of numbers 677, 221, 924, 563 is 1

Given Input Data is 677, 221, 924, 563

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

Prime Factorization of 677 is 677

Prime Factorization of 221 is 13 x 17

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 563 is 563

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, 221) = 149617

GCD(677, 221) = ( 677 x 221 ) / 149617

GCD(677, 221) = 149617 / 149617

GCD(677, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 677, 221, 924, 563 is 1

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1. What is the GCD of 677, 221, 924, 563?

GCD of 677, 221, 924, 563 is 1

2. Where do I get the detailed procedure to find GCD of 677, 221, 924, 563?

You can find a detailed procedure to find GCD of 677, 221, 924, 563 on our page.

3. How to find GCD of 677, 221, 924, 563 on a calculator?

You can find the GCD of 677, 221, 924, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.