GCD of 930, 501, 86, 849 Calculator

Given Input numbers are 930, 501, 86, 849

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 930, 501, 86, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 501, 86, 849 is 1.

Therefore, GCD of numbers 930, 501, 86, 849 is 1

Given Input Data is 930, 501, 86, 849

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 501 is 3 x 167

Prime Factorization of 86 is 2 x 43

Prime Factorization of 849 is 3 x 283

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(930, 501) = 155310

GCD(930, 501) = ( 930 x 501 ) / 155310

GCD(930, 501) = 465930 / 155310

GCD(930, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 930, 501, 86, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 357, 10, 435
• GCD of 399, 463, 38, 785
• GCD of 243, 755, 20, 491
• GCD of 734, 745, 70, 315
• GCD of 392, 137, 24, 397

1. What is the GCD of 930, 501, 86, 849?

GCD of 930, 501, 86, 849 is 1

2. Where do I get the detailed procedure to find GCD of 930, 501, 86, 849?

You can find a detailed procedure to find GCD of 930, 501, 86, 849 on our page.

3. How to find GCD of 930, 501, 86, 849 on a calculator?

You can find the GCD of 930, 501, 86, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.