GCD of 498, 557, 85, 497 Calculator

Given Input numbers are 498, 557, 85, 497

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 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 498, 557, 85, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 557, 85, 497 is 1.

Therefore, GCD of numbers 498, 557, 85, 497 is 1

Given Input Data is 498, 557, 85, 497

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 557 is 557

Prime Factorization of 85 is 5 x 17

Prime Factorization of 497 is 7 x 71

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, 557) = 277386

GCD(498, 557) = ( 498 x 557 ) / 277386

GCD(498, 557) = 277386 / 277386

GCD(498, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 498, 557, 85, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 824, 20, 995
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• GCD of 298, 791, 36, 675
• GCD of 354, 358, 53, 552
• GCD of 465, 692, 15, 197

1. What is the GCD of 498, 557, 85, 497?

GCD of 498, 557, 85, 497 is 1

2. Where do I get the detailed procedure to find GCD of 498, 557, 85, 497?

You can find a detailed procedure to find GCD of 498, 557, 85, 497 on our page.

3. How to find GCD of 498, 557, 85, 497 on a calculator?

You can find the GCD of 498, 557, 85, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.