GCD of 480, 350, 939, 853 Calculator

Given Input numbers are 480, 350, 939, 853

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 480, 350, 939, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 350, 939, 853 is 1.

Therefore, GCD of numbers 480, 350, 939, 853 is 1

Given Input Data is 480, 350, 939, 853

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 939 is 3 x 313

Prime Factorization of 853 is 853

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(480, 350) = 16800

GCD(480, 350) = ( 480 x 350 ) / 16800

GCD(480, 350) = 168000 / 16800

GCD(480, 350) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 939

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

LCM(10, 939) = 9390

GCD(10, 939) = ( 10 x 939 ) / 9390

GCD(10, 939) = 9390 / 9390

GCD(10, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 480, 350, 939, 853 is 1

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1. What is the GCD of 480, 350, 939, 853?

GCD of 480, 350, 939, 853 is 1

2. Where do I get the detailed procedure to find GCD of 480, 350, 939, 853?

You can find a detailed procedure to find GCD of 480, 350, 939, 853 on our page.

3. How to find GCD of 480, 350, 939, 853 on a calculator?

You can find the GCD of 480, 350, 939, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.