GCD of 802, 314, 99, 973 Calculator

Given Input numbers are 802, 314, 99, 973

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 802, 314, 99, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 314, 99, 973 is 1.

Therefore, GCD of numbers 802, 314, 99, 973 is 1

Given Input Data is 802, 314, 99, 973

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 314 is 2 x 157

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 973 is 7 x 139

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(802, 314) = 125914

GCD(802, 314) = ( 802 x 314 ) / 125914

GCD(802, 314) = 251828 / 125914

GCD(802, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 802, 314, 99, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 103, 86, 428
• GCD of 216, 944, 98, 921
• GCD of 456, 163, 44, 658
• GCD of 380, 208, 63, 319
• GCD of 496, 312, 12, 507

1. What is the GCD of 802, 314, 99, 973?

GCD of 802, 314, 99, 973 is 1

2. Where do I get the detailed procedure to find GCD of 802, 314, 99, 973?

You can find a detailed procedure to find GCD of 802, 314, 99, 973 on our page.

3. How to find GCD of 802, 314, 99, 973 on a calculator?

You can find the GCD of 802, 314, 99, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.