GCD of 497, 237, 221, 780 Calculator

Given Input numbers are 497, 237, 221, 780

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 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 497, 237, 221, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 237, 221, 780 is 1.

Therefore, GCD of numbers 497, 237, 221, 780 is 1

Given Input Data is 497, 237, 221, 780

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 237 is 3 x 79

Prime Factorization of 221 is 13 x 17

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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, 237) = 117789

GCD(497, 237) = ( 497 x 237 ) / 117789

GCD(497, 237) = 117789 / 117789

GCD(497, 237) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 497, 237, 221, 780 is 1

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1. What is the GCD of 497, 237, 221, 780?

GCD of 497, 237, 221, 780 is 1

2. Where do I get the detailed procedure to find GCD of 497, 237, 221, 780?

You can find a detailed procedure to find GCD of 497, 237, 221, 780 on our page.

3. How to find GCD of 497, 237, 221, 780 on a calculator?

You can find the GCD of 497, 237, 221, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.