GCD of 714, 491, 99, 932 Calculator

Given Input numbers are 714, 491, 99, 932

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 714, 491, 99, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 491, 99, 932 is 1.

Therefore, GCD of numbers 714, 491, 99, 932 is 1

Given Input Data is 714, 491, 99, 932

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 491 is 491

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 932 is 2 x 2 x 233

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(714, 491) = 350574

GCD(714, 491) = ( 714 x 491 ) / 350574

GCD(714, 491) = 350574 / 350574

GCD(714, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 1

GCD of 714, 491, 99, 932 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 153, 77, 930
• GCD of 639, 518, 12, 865
• GCD of 578, 651, 30, 859
• GCD of 468, 181, 97, 520
• GCD of 352, 663, 82, 472

1. What is the GCD of 714, 491, 99, 932?

GCD of 714, 491, 99, 932 is 1

2. Where do I get the detailed procedure to find GCD of 714, 491, 99, 932?

You can find a detailed procedure to find GCD of 714, 491, 99, 932 on our page.

3. How to find GCD of 714, 491, 99, 932 on a calculator?

You can find the GCD of 714, 491, 99, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.