GCD of 96, 550, 189, 946 Calculator

Given Input numbers are 96, 550, 189, 946

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 96, 550, 189, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 550, 189, 946 is 1.

Therefore, GCD of numbers 96, 550, 189, 946 is 1

Given Input Data is 96, 550, 189, 946

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 550 is 2 x 5 x 5 x 11

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 946 is 2 x 11 x 43

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, 550) = 26400

GCD(96, 550) = ( 96 x 550 ) / 26400

GCD(96, 550) = 52800 / 26400

GCD(96, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 96, 550, 189, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 102, 307, 548
• GCD of 11, 515, 792, 429
• GCD of 71, 363, 392, 946
• GCD of 87, 132, 174, 335
• GCD of 79, 658, 760, 996

1. What is the GCD of 96, 550, 189, 946?

GCD of 96, 550, 189, 946 is 1

2. Where do I get the detailed procedure to find GCD of 96, 550, 189, 946?

You can find a detailed procedure to find GCD of 96, 550, 189, 946 on our page.

3. How to find GCD of 96, 550, 189, 946 on a calculator?

You can find the GCD of 96, 550, 189, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.