GCD of 109, 297, 830, 220 Calculator

Given Input numbers are 109, 297, 830, 220

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

Divisors of 109

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

1, 109

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 109, 297, 830, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 297, 830, 220 is 1.

Therefore, GCD of numbers 109, 297, 830, 220 is 1

Given Input Data is 109, 297, 830, 220

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

Prime Factorization of 109 is 109

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(109, 297) = 32373

GCD(109, 297) = ( 109 x 297 ) / 32373

GCD(109, 297) = 32373 / 32373

GCD(109, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 109, 297, 830, 220 is 1

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1. What is the GCD of 109, 297, 830, 220?

GCD of 109, 297, 830, 220 is 1

2. Where do I get the detailed procedure to find GCD of 109, 297, 830, 220?

You can find a detailed procedure to find GCD of 109, 297, 830, 220 on our page.

3. How to find GCD of 109, 297, 830, 220 on a calculator?

You can find the GCD of 109, 297, 830, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.