GCD of 961, 109, 72, 385 Calculator

Given Input numbers are 961, 109, 72, 385

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 961, 109, 72, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 109, 72, 385 is 1.

Therefore, GCD of numbers 961, 109, 72, 385 is 1

Given Input Data is 961, 109, 72, 385

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 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 385 is 5 x 7 x 11

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 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 961, 109, 72, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 117, 39, 436
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• GCD of 165, 884, 51, 373
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• GCD of 622, 910, 16, 682

1. What is the GCD of 961, 109, 72, 385?

GCD of 961, 109, 72, 385 is 1

2. Where do I get the detailed procedure to find GCD of 961, 109, 72, 385?

You can find a detailed procedure to find GCD of 961, 109, 72, 385 on our page.

3. How to find GCD of 961, 109, 72, 385 on a calculator?

You can find the GCD of 961, 109, 72, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.