GCD of 480, 520, 939, 420 Calculator

Given Input numbers are 480, 520, 939, 420

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 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 939

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

1, 3, 313, 939

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 480, 520, 939, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 520, 939, 420 is 1.

Therefore, GCD of numbers 480, 520, 939, 420 is 1

Given Input Data is 480, 520, 939, 420

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 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 939 is 3 x 313

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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, 520) = 6240

GCD(480, 520) = ( 480 x 520 ) / 6240

GCD(480, 520) = 249600 / 6240

GCD(480, 520) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 939

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

LCM(40, 939) = 37560

GCD(40, 939) = ( 40 x 939 ) / 37560

GCD(40, 939) = 37560 / 37560

GCD(40, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 480, 520, 939, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 535, 191, 136
• GCD of 575, 717, 843, 988
• GCD of 720, 260, 617, 931
• GCD of 453, 404, 970, 707
• GCD of 231, 830, 384, 442

1. What is the GCD of 480, 520, 939, 420?

GCD of 480, 520, 939, 420 is 1

2. Where do I get the detailed procedure to find GCD of 480, 520, 939, 420?

You can find a detailed procedure to find GCD of 480, 520, 939, 420 on our page.

3. How to find GCD of 480, 520, 939, 420 on a calculator?

You can find the GCD of 480, 520, 939, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.