GCD of 397, 969, 867, 560 Calculator

Given Input numbers are 397, 969, 867, 560

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

Divisors of 397

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

1, 397

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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 397, 969, 867, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 969, 867, 560 is 1.

Therefore, GCD of numbers 397, 969, 867, 560 is 1

Given Input Data is 397, 969, 867, 560

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

Prime Factorization of 397 is 397

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 867 is 3 x 17 x 17

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(397, 969) = 384693

GCD(397, 969) = ( 397 x 969 ) / 384693

GCD(397, 969) = 384693 / 384693

GCD(397, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 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 397, 969, 867, 560 is 1

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1. What is the GCD of 397, 969, 867, 560?

GCD of 397, 969, 867, 560 is 1

2. Where do I get the detailed procedure to find GCD of 397, 969, 867, 560?

You can find a detailed procedure to find GCD of 397, 969, 867, 560 on our page.

3. How to find GCD of 397, 969, 867, 560 on a calculator?

You can find the GCD of 397, 969, 867, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.