GCD of 427, 646, 49, 991 Calculator

Given Input numbers are 427, 646, 49, 991

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 991

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

1, 991

Greatest Common Divisior

We found the divisors of 427, 646, 49, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 646, 49, 991 is 1.

Therefore, GCD of numbers 427, 646, 49, 991 is 1

Given Input Data is 427, 646, 49, 991

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 49 is 7 x 7

Prime Factorization of 991 is 991

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(427, 646) = 275842

GCD(427, 646) = ( 427 x 646 ) / 275842

GCD(427, 646) = 275842 / 275842

GCD(427, 646) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 427, 646, 49, 991 is 1

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1. What is the GCD of 427, 646, 49, 991?

GCD of 427, 646, 49, 991 is 1

2. Where do I get the detailed procedure to find GCD of 427, 646, 49, 991?

You can find a detailed procedure to find GCD of 427, 646, 49, 991 on our page.

3. How to find GCD of 427, 646, 49, 991 on a calculator?

You can find the GCD of 427, 646, 49, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.