GCD of 520, 420, 766, 427 Calculator

Given Input numbers are 520, 420, 766, 427

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

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 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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 520, 420, 766, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 420, 766, 427 is 1.

Therefore, GCD of numbers 520, 420, 766, 427 is 1

Given Input Data is 520, 420, 766, 427

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 427 is 7 x 61

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(520, 420) = 10920

GCD(520, 420) = ( 520 x 420 ) / 10920

GCD(520, 420) = 218400 / 10920

GCD(520, 420) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 766

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

LCM(20, 766) = 7660

GCD(20, 766) = ( 20 x 766 ) / 7660

GCD(20, 766) = 15320 / 7660

GCD(20, 766) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

GCD of 520, 420, 766, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 843, 906, 150
• GCD of 218, 827, 127, 726
• GCD of 857, 785, 216, 749
• GCD of 158, 823, 839, 100
• GCD of 183, 219, 561, 199

1. What is the GCD of 520, 420, 766, 427?

GCD of 520, 420, 766, 427 is 1

2. Where do I get the detailed procedure to find GCD of 520, 420, 766, 427?

You can find a detailed procedure to find GCD of 520, 420, 766, 427 on our page.

3. How to find GCD of 520, 420, 766, 427 on a calculator?

You can find the GCD of 520, 420, 766, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.