GCD of 441, 109, 557, 780 Calculator

Given Input numbers are 441, 109, 557, 780

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 557

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

1, 557

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 441, 109, 557, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 109, 557, 780 is 1.

Therefore, GCD of numbers 441, 109, 557, 780 is 1

Given Input Data is 441, 109, 557, 780

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 109 is 109

Prime Factorization of 557 is 557

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(441, 109) = 48069

GCD(441, 109) = ( 441 x 109 ) / 48069

GCD(441, 109) = 48069 / 48069

GCD(441, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 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 441, 109, 557, 780 is 1

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1. What is the GCD of 441, 109, 557, 780?

GCD of 441, 109, 557, 780 is 1

2. Where do I get the detailed procedure to find GCD of 441, 109, 557, 780?

You can find a detailed procedure to find GCD of 441, 109, 557, 780 on our page.

3. How to find GCD of 441, 109, 557, 780 on a calculator?

You can find the GCD of 441, 109, 557, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.