GCD of 565, 625, 314, 223 Calculator

Given Input numbers are 565, 625, 314, 223

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 565, 625, 314, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 625, 314, 223 is 1.

Therefore, GCD of numbers 565, 625, 314, 223 is 1

Given Input Data is 565, 625, 314, 223

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 314 is 2 x 157

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(565, 625) = 70625

GCD(565, 625) = ( 565 x 625 ) / 70625

GCD(565, 625) = 353125 / 70625

GCD(565, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 314

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

LCM(5, 314) = 1570

GCD(5, 314) = ( 5 x 314 ) / 1570

GCD(5, 314) = 1570 / 1570

GCD(5, 314) = 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 565, 625, 314, 223 is 1

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1. What is the GCD of 565, 625, 314, 223?

GCD of 565, 625, 314, 223 is 1

2. Where do I get the detailed procedure to find GCD of 565, 625, 314, 223?

You can find a detailed procedure to find GCD of 565, 625, 314, 223 on our page.

3. How to find GCD of 565, 625, 314, 223 on a calculator?

You can find the GCD of 565, 625, 314, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.