GCD of 732, 195, 98, 914 Calculator

Given Input numbers are 732, 195, 98, 914

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 732, 195, 98, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 195, 98, 914 is 1.

Therefore, GCD of numbers 732, 195, 98, 914 is 1

Given Input Data is 732, 195, 98, 914

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 914 is 2 x 457

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(732, 195) = 47580

GCD(732, 195) = ( 732 x 195 ) / 47580

GCD(732, 195) = 142740 / 47580

GCD(732, 195) = 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 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 732, 195, 98, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 912, 31, 673
• GCD of 332, 935, 39, 304
• GCD of 400, 830, 43, 932
• GCD of 261, 852, 22, 216
• GCD of 845, 449, 22, 113

1. What is the GCD of 732, 195, 98, 914?

GCD of 732, 195, 98, 914 is 1

2. Where do I get the detailed procedure to find GCD of 732, 195, 98, 914?

You can find a detailed procedure to find GCD of 732, 195, 98, 914 on our page.

3. How to find GCD of 732, 195, 98, 914 on a calculator?

You can find the GCD of 732, 195, 98, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.