GCD of 497, 985, 248, 821 Calculator

Given Input numbers are 497, 985, 248, 821

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 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 497, 985, 248, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 985, 248, 821 is 1.

Therefore, GCD of numbers 497, 985, 248, 821 is 1

Given Input Data is 497, 985, 248, 821

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 985 is 5 x 197

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 821 is 821

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, 985) = 489545

GCD(497, 985) = ( 497 x 985 ) / 489545

GCD(497, 985) = 489545 / 489545

GCD(497, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 497, 985, 248, 821 is 1

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1. What is the GCD of 497, 985, 248, 821?

GCD of 497, 985, 248, 821 is 1

2. Where do I get the detailed procedure to find GCD of 497, 985, 248, 821?

You can find a detailed procedure to find GCD of 497, 985, 248, 821 on our page.

3. How to find GCD of 497, 985, 248, 821 on a calculator?

You can find the GCD of 497, 985, 248, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.