GCD of 961, 109, 98, 663 Calculator

Given Input numbers are 961, 109, 98, 663

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

Divisors of 961

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

1, 31, 961

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 663

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

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

Greatest Common Divisior

We found the divisors of 961, 109, 98, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 109, 98, 663 is 1.

Therefore, GCD of numbers 961, 109, 98, 663 is 1

Given Input Data is 961, 109, 98, 663

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 109 is 109

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 663 is 3 x 13 x 17

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(961, 109) = 104749

GCD(961, 109) = ( 961 x 109 ) / 104749

GCD(961, 109) = 104749 / 104749

GCD(961, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 961, 109, 98, 663 is 1

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1. What is the GCD of 961, 109, 98, 663?

GCD of 961, 109, 98, 663 is 1

2. Where do I get the detailed procedure to find GCD of 961, 109, 98, 663?

You can find a detailed procedure to find GCD of 961, 109, 98, 663 on our page.

3. How to find GCD of 961, 109, 98, 663 on a calculator?

You can find the GCD of 961, 109, 98, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.