GCD of 47, 262, 613, 780 Calculator

Given Input numbers are 47, 262, 613, 780

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

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 47, 262, 613, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 262, 613, 780 is 1.

Therefore, GCD of numbers 47, 262, 613, 780 is 1

Given Input Data is 47, 262, 613, 780

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

Prime Factorization of 47 is 47

Prime Factorization of 262 is 2 x 131

Prime Factorization of 613 is 613

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(47, 262) = 12314

GCD(47, 262) = ( 47 x 262 ) / 12314

GCD(47, 262) = 12314 / 12314

GCD(47, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 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 47, 262, 613, 780 is 1

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1. What is the GCD of 47, 262, 613, 780?

GCD of 47, 262, 613, 780 is 1

2. Where do I get the detailed procedure to find GCD of 47, 262, 613, 780?

You can find a detailed procedure to find GCD of 47, 262, 613, 780 on our page.

3. How to find GCD of 47, 262, 613, 780 on a calculator?

You can find the GCD of 47, 262, 613, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.