GCD of 96, 86, 98, 51 Calculator

Given Input numbers are 96, 86, 98, 51

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 51

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

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 96, 86, 98, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 86, 98, 51 is 1.

Therefore, GCD of numbers 96, 86, 98, 51 is 1

Given Input Data is 96, 86, 98, 51

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 86 is 2 x 43

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 51 is 3 x 17

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(96, 86) = 4128

GCD(96, 86) = ( 96 x 86 ) / 4128

GCD(96, 86) = 8256 / 4128

GCD(96, 86) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

GCD of 96, 86, 98, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 31, 82, 14
• GCD of 87, 23, 95, 12
• GCD of 50, 42, 90, 96
• GCD of 64, 34, 66, 54
• GCD of 62, 60, 61, 68

1. What is the GCD of 96, 86, 98, 51?

GCD of 96, 86, 98, 51 is 1

2. Where do I get the detailed procedure to find GCD of 96, 86, 98, 51?

You can find a detailed procedure to find GCD of 96, 86, 98, 51 on our page.

3. How to find GCD of 96, 86, 98, 51 on a calculator?

You can find the GCD of 96, 86, 98, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.