GCD of 196, 991, 39, 431 Calculator

Given Input numbers are 196, 991, 39, 431

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 991

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

1, 991

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 196, 991, 39, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 991, 39, 431 is 1.

Therefore, GCD of numbers 196, 991, 39, 431 is 1

Given Input Data is 196, 991, 39, 431

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 991 is 991

Prime Factorization of 39 is 3 x 13

Prime Factorization of 431 is 431

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, 991) = 194236

GCD(196, 991) = ( 196 x 991 ) / 194236

GCD(196, 991) = 194236 / 194236

GCD(196, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 196, 991, 39, 431 is 1

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1. What is the GCD of 196, 991, 39, 431?

GCD of 196, 991, 39, 431 is 1

2. Where do I get the detailed procedure to find GCD of 196, 991, 39, 431?

You can find a detailed procedure to find GCD of 196, 991, 39, 431 on our page.

3. How to find GCD of 196, 991, 39, 431 on a calculator?

You can find the GCD of 196, 991, 39, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.