GCD of 661, 478, 299, 560 Calculator

Given Input numbers are 661, 478, 299, 560

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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

Greatest Common Divisior

We found the divisors of 661, 478, 299, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 478, 299, 560 is 1.

Therefore, GCD of numbers 661, 478, 299, 560 is 1

Given Input Data is 661, 478, 299, 560

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

Prime Factorization of 661 is 661

Prime Factorization of 478 is 2 x 239

Prime Factorization of 299 is 13 x 23

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 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(661, 478) = 315958

GCD(661, 478) = ( 661 x 478 ) / 315958

GCD(661, 478) = 315958 / 315958

GCD(661, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

Step3:

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

GCD of 661, 478, 299, 560 is 1

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1. What is the GCD of 661, 478, 299, 560?

GCD of 661, 478, 299, 560 is 1

2. Where do I get the detailed procedure to find GCD of 661, 478, 299, 560?

You can find a detailed procedure to find GCD of 661, 478, 299, 560 on our page.

3. How to find GCD of 661, 478, 299, 560 on a calculator?

You can find the GCD of 661, 478, 299, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.