GCD of 802, 357, 99, 490 Calculator

Given Input numbers are 802, 357, 99, 490

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 802, 357, 99, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 357, 99, 490 is 1.

Therefore, GCD of numbers 802, 357, 99, 490 is 1

Given Input Data is 802, 357, 99, 490

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 490 is 2 x 5 x 7 x 7

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, 357) = 286314

GCD(802, 357) = ( 802 x 357 ) / 286314

GCD(802, 357) = 286314 / 286314

GCD(802, 357) = 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 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 802, 357, 99, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 857, 87, 553
• GCD of 501, 649, 43, 637
• GCD of 248, 502, 15, 108
• GCD of 791, 458, 38, 142
• GCD of 652, 559, 51, 426

1. What is the GCD of 802, 357, 99, 490?

GCD of 802, 357, 99, 490 is 1

2. Where do I get the detailed procedure to find GCD of 802, 357, 99, 490?

You can find a detailed procedure to find GCD of 802, 357, 99, 490 on our page.

3. How to find GCD of 802, 357, 99, 490 on a calculator?

You can find the GCD of 802, 357, 99, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.