GCD of 99, 51, 43, 98 Calculator

Given Input numbers are 99, 51, 43, 98

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 98

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

1, 2, 7, 14, 49, 98

Greatest Common Divisior

We found the divisors of 99, 51, 43, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 51, 43, 98 is 1.

Therefore, GCD of numbers 99, 51, 43, 98 is 1

Given Input Data is 99, 51, 43, 98

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 51 is 3 x 17

Prime Factorization of 43 is 43

Prime Factorization of 98 is 2 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(99, 51) = 1683

GCD(99, 51) = ( 99 x 51 ) / 1683

GCD(99, 51) = 5049 / 1683

GCD(99, 51) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

GCD of 99, 51, 43, 98 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 88, 76, 55
• GCD of 33, 56, 50, 67
• GCD of 55, 99, 53, 81
• GCD of 37, 86, 55, 94
• GCD of 37, 66, 48, 20

1. What is the GCD of 99, 51, 43, 98?

GCD of 99, 51, 43, 98 is 1

2. Where do I get the detailed procedure to find GCD of 99, 51, 43, 98?

You can find a detailed procedure to find GCD of 99, 51, 43, 98 on our page.

3. How to find GCD of 99, 51, 43, 98 on a calculator?

You can find the GCD of 99, 51, 43, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.