GCD of 830, 780, 542, 247 Calculator

Given Input numbers are 830, 780, 542, 247

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Greatest Common Divisior

We found the divisors of 830, 780, 542, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 780, 542, 247 is 1.

Therefore, GCD of numbers 830, 780, 542, 247 is 1

Given Input Data is 830, 780, 542, 247

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

Prime Factorization of 830 is 2 x 5 x 83

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 247 is 13 x 19

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(830, 780) = 64740

GCD(830, 780) = ( 830 x 780 ) / 64740

GCD(830, 780) = 647400 / 64740

GCD(830, 780) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 542

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

LCM(10, 542) = 2710

GCD(10, 542) = ( 10 x 542 ) / 2710

GCD(10, 542) = 5420 / 2710

GCD(10, 542) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 247

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

LCM(2, 247) = 494

GCD(2, 247) = ( 2 x 247 ) / 494

GCD(2, 247) = 494 / 494

GCD(2, 247) = 1

GCD of 830, 780, 542, 247 is 1

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1. What is the GCD of 830, 780, 542, 247?

GCD of 830, 780, 542, 247 is 1

2. Where do I get the detailed procedure to find GCD of 830, 780, 542, 247?

You can find a detailed procedure to find GCD of 830, 780, 542, 247 on our page.

3. How to find GCD of 830, 780, 542, 247 on a calculator?

You can find the GCD of 830, 780, 542, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.