GCD of 991, 106, 471, 441 Calculator

Given Input numbers are 991, 106, 471, 441

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 991, 106, 471, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 106, 471, 441 is 1.

Therefore, GCD of numbers 991, 106, 471, 441 is 1

Given Input Data is 991, 106, 471, 441

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

Prime Factorization of 991 is 991

Prime Factorization of 106 is 2 x 53

Prime Factorization of 471 is 3 x 157

Prime Factorization of 441 is 3 x 3 x 7 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(991, 106) = 105046

GCD(991, 106) = ( 991 x 106 ) / 105046

GCD(991, 106) = 105046 / 105046

GCD(991, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 991, 106, 471, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 111, 928, 189
• GCD of 552, 252, 149, 232
• GCD of 457, 395, 954, 459
• GCD of 676, 124, 176, 275
• GCD of 572, 141, 962, 467

1. What is the GCD of 991, 106, 471, 441?

GCD of 991, 106, 471, 441 is 1

2. Where do I get the detailed procedure to find GCD of 991, 106, 471, 441?

You can find a detailed procedure to find GCD of 991, 106, 471, 441 on our page.

3. How to find GCD of 991, 106, 471, 441 on a calculator?

You can find the GCD of 991, 106, 471, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.