GCD of 497, 408, 98, 580 Calculator

Given Input numbers are 497, 408, 98, 580

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

Divisors of 497

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

1, 7, 71, 497

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 497, 408, 98, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 408, 98, 580 is 1.

Therefore, GCD of numbers 497, 408, 98, 580 is 1

Given Input Data is 497, 408, 98, 580

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(497, 408) = 202776

GCD(497, 408) = ( 497 x 408 ) / 202776

GCD(497, 408) = 202776 / 202776

GCD(497, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 497, 408, 98, 580 is 1

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1. What is the GCD of 497, 408, 98, 580?

GCD of 497, 408, 98, 580 is 1

2. Where do I get the detailed procedure to find GCD of 497, 408, 98, 580?

You can find a detailed procedure to find GCD of 497, 408, 98, 580 on our page.

3. How to find GCD of 497, 408, 98, 580 on a calculator?

You can find the GCD of 497, 408, 98, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.