GCD of 830, 260, 998, 359 Calculator

Given Input numbers are 830, 260, 998, 359

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 830, 260, 998, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 260, 998, 359 is 1.

Therefore, GCD of numbers 830, 260, 998, 359 is 1

Given Input Data is 830, 260, 998, 359

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 260 is 2 x 2 x 5 x 13

Prime Factorization of 998 is 2 x 499

Prime Factorization of 359 is 359

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, 260) = 21580

GCD(830, 260) = ( 830 x 260 ) / 21580

GCD(830, 260) = 215800 / 21580

GCD(830, 260) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 998

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

LCM(10, 998) = 4990

GCD(10, 998) = ( 10 x 998 ) / 4990

GCD(10, 998) = 9980 / 4990

GCD(10, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 359

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

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

GCD(2, 359) = 718 / 718

GCD(2, 359) = 1

GCD of 830, 260, 998, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 137, 680, 494
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• GCD of 166, 911, 505, 210
• GCD of 114, 306, 256, 670
• GCD of 363, 376, 241, 752

1. What is the GCD of 830, 260, 998, 359?

GCD of 830, 260, 998, 359 is 1

2. Where do I get the detailed procedure to find GCD of 830, 260, 998, 359?

You can find a detailed procedure to find GCD of 830, 260, 998, 359 on our page.

3. How to find GCD of 830, 260, 998, 359 on a calculator?

You can find the GCD of 830, 260, 998, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.