GCD of 906, 469, 978, 560 Calculator

Given Input numbers are 906, 469, 978, 560

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 906, 469, 978, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 469, 978, 560 is 1.

Therefore, GCD of numbers 906, 469, 978, 560 is 1

Given Input Data is 906, 469, 978, 560

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 469 is 7 x 67

Prime Factorization of 978 is 2 x 3 x 163

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(906, 469) = 424914

GCD(906, 469) = ( 906 x 469 ) / 424914

GCD(906, 469) = 424914 / 424914

GCD(906, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 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 906, 469, 978, 560 is 1

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1. What is the GCD of 906, 469, 978, 560?

GCD of 906, 469, 978, 560 is 1

2. Where do I get the detailed procedure to find GCD of 906, 469, 978, 560?

You can find a detailed procedure to find GCD of 906, 469, 978, 560 on our page.

3. How to find GCD of 906, 469, 978, 560 on a calculator?

You can find the GCD of 906, 469, 978, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.