GCD of 498, 868, 77, 285 Calculator

Given Input numbers are 498, 868, 77, 285

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 498, 868, 77, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 868, 77, 285 is 1.

Therefore, GCD of numbers 498, 868, 77, 285 is 1

Given Input Data is 498, 868, 77, 285

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 77 is 7 x 11

Prime Factorization of 285 is 3 x 5 x 19

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(498, 868) = 216132

GCD(498, 868) = ( 498 x 868 ) / 216132

GCD(498, 868) = 432264 / 216132

GCD(498, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 498, 868, 77, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 386, 22, 920
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• GCD of 766, 747, 72, 501
• GCD of 183, 604, 89, 269

1. What is the GCD of 498, 868, 77, 285?

GCD of 498, 868, 77, 285 is 1

2. Where do I get the detailed procedure to find GCD of 498, 868, 77, 285?

You can find a detailed procedure to find GCD of 498, 868, 77, 285 on our page.

3. How to find GCD of 498, 868, 77, 285 on a calculator?

You can find the GCD of 498, 868, 77, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.