GCD of 490, 132, 89, 802 Calculator

Given Input numbers are 490, 132, 89, 802

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

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 802

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

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 490, 132, 89, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 132, 89, 802 is 1.

Therefore, GCD of numbers 490, 132, 89, 802 is 1

Given Input Data is 490, 132, 89, 802

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

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 89 is 89

Prime Factorization of 802 is 2 x 401

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(490, 132) = 32340

GCD(490, 132) = ( 490 x 132 ) / 32340

GCD(490, 132) = 64680 / 32340

GCD(490, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 490, 132, 89, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 752, 42, 255
• GCD of 399, 382, 42, 258
• GCD of 364, 892, 45, 681
• GCD of 282, 177, 80, 181
• GCD of 370, 532, 85, 195

1. What is the GCD of 490, 132, 89, 802?

GCD of 490, 132, 89, 802 is 1

2. Where do I get the detailed procedure to find GCD of 490, 132, 89, 802?

You can find a detailed procedure to find GCD of 490, 132, 89, 802 on our page.

3. How to find GCD of 490, 132, 89, 802 on a calculator?

You can find the GCD of 490, 132, 89, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.