GCD of 196, 354, 663, 961 Calculator

Given Input numbers are 196, 354, 663, 961

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 196, 354, 663, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 354, 663, 961 is 1.

Therefore, GCD of numbers 196, 354, 663, 961 is 1

Given Input Data is 196, 354, 663, 961

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 354 is 2 x 3 x 59

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 961 is 31 x 31

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, 354) = 34692

GCD(196, 354) = ( 196 x 354 ) / 34692

GCD(196, 354) = 69384 / 34692

GCD(196, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 196, 354, 663, 961 is 1

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• GCD of 164, 379, 782, 174
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1. What is the GCD of 196, 354, 663, 961?

GCD of 196, 354, 663, 961 is 1

2. Where do I get the detailed procedure to find GCD of 196, 354, 663, 961?

You can find a detailed procedure to find GCD of 196, 354, 663, 961 on our page.

3. How to find GCD of 196, 354, 663, 961 on a calculator?

You can find the GCD of 196, 354, 663, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.