GCD of 560, 360, 397, 914 Calculator

Given Input numbers are 560, 360, 397, 914

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

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 560, 360, 397, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 360, 397, 914 is 1.

Therefore, GCD of numbers 560, 360, 397, 914 is 1

Given Input Data is 560, 360, 397, 914

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

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 397 is 397

Prime Factorization of 914 is 2 x 457

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(560, 360) = 5040

GCD(560, 360) = ( 560 x 360 ) / 5040

GCD(560, 360) = 201600 / 5040

GCD(560, 360) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 397

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

LCM(40, 397) = 15880

GCD(40, 397) = ( 40 x 397 ) / 15880

GCD(40, 397) = 15880 / 15880

GCD(40, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 560, 360, 397, 914 is 1

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1. What is the GCD of 560, 360, 397, 914?

GCD of 560, 360, 397, 914 is 1

2. Where do I get the detailed procedure to find GCD of 560, 360, 397, 914?

You can find a detailed procedure to find GCD of 560, 360, 397, 914 on our page.

3. How to find GCD of 560, 360, 397, 914 on a calculator?

You can find the GCD of 560, 360, 397, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.