GCD of 830, 520, 69, 211 Calculator

Given Input numbers are 830, 520, 69, 211

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 830, 520, 69, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 520, 69, 211 is 1.

Therefore, GCD of numbers 830, 520, 69, 211 is 1

Given Input Data is 830, 520, 69, 211

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 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 69 is 3 x 23

Prime Factorization of 211 is 211

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, 520) = 43160

GCD(830, 520) = ( 830 x 520 ) / 43160

GCD(830, 520) = 431600 / 43160

GCD(830, 520) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 69

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

LCM(10, 69) = 690

GCD(10, 69) = ( 10 x 69 ) / 690

GCD(10, 69) = 690 / 690

GCD(10, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 830, 520, 69, 211 is 1

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1. What is the GCD of 830, 520, 69, 211?

GCD of 830, 520, 69, 211 is 1

2. Where do I get the detailed procedure to find GCD of 830, 520, 69, 211?

You can find a detailed procedure to find GCD of 830, 520, 69, 211 on our page.

3. How to find GCD of 830, 520, 69, 211 on a calculator?

You can find the GCD of 830, 520, 69, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.