GCD of 111, 351, 98, 643 Calculator

Given Input numbers are 111, 351, 98, 643

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

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 111, 351, 98, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 351, 98, 643 is 1.

Therefore, GCD of numbers 111, 351, 98, 643 is 1

Given Input Data is 111, 351, 98, 643

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

Prime Factorization of 111 is 3 x 37

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 643 is 643

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(111, 351) = 12987

GCD(111, 351) = ( 111 x 351 ) / 12987

GCD(111, 351) = 38961 / 12987

GCD(111, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 111, 351, 98, 643 is 1

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1. What is the GCD of 111, 351, 98, 643?

GCD of 111, 351, 98, 643 is 1

2. Where do I get the detailed procedure to find GCD of 111, 351, 98, 643?

You can find a detailed procedure to find GCD of 111, 351, 98, 643 on our page.

3. How to find GCD of 111, 351, 98, 643 on a calculator?

You can find the GCD of 111, 351, 98, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.