GCD of 721, 922, 560, 205 Calculator

Given Input numbers are 721, 922, 560, 205

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 721, 922, 560, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 922, 560, 205 is 1.

Therefore, GCD of numbers 721, 922, 560, 205 is 1

Given Input Data is 721, 922, 560, 205

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 922 is 2 x 461

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 205 is 5 x 41

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(721, 922) = 664762

GCD(721, 922) = ( 721 x 922 ) / 664762

GCD(721, 922) = 664762 / 664762

GCD(721, 922) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 721, 922, 560, 205 is 1

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1. What is the GCD of 721, 922, 560, 205?

GCD of 721, 922, 560, 205 is 1

2. Where do I get the detailed procedure to find GCD of 721, 922, 560, 205?

You can find a detailed procedure to find GCD of 721, 922, 560, 205 on our page.

3. How to find GCD of 721, 922, 560, 205 on a calculator?

You can find the GCD of 721, 922, 560, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.