GCD of 196, 656, 899, 560 Calculator

Given Input numbers are 196, 656, 899, 560

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 196, 656, 899, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 656, 899, 560 is 1.

Therefore, GCD of numbers 196, 656, 899, 560 is 1

Given Input Data is 196, 656, 899, 560

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 899 is 29 x 31

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(196, 656) = 32144

GCD(196, 656) = ( 196 x 656 ) / 32144

GCD(196, 656) = 128576 / 32144

GCD(196, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 899

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

LCM(4, 899) = 3596

GCD(4, 899) = ( 4 x 899 ) / 3596

GCD(4, 899) = 3596 / 3596

GCD(4, 899) = 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 196, 656, 899, 560 is 1

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1. What is the GCD of 196, 656, 899, 560?

GCD of 196, 656, 899, 560 is 1

2. Where do I get the detailed procedure to find GCD of 196, 656, 899, 560?

You can find a detailed procedure to find GCD of 196, 656, 899, 560 on our page.

3. How to find GCD of 196, 656, 899, 560 on a calculator?

You can find the GCD of 196, 656, 899, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.