GCD of 520, 752, 46, 780 Calculator

Given Input numbers are 520, 752, 46, 780

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 520, 752, 46, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 752, 46, 780 is 2.

Therefore, GCD of numbers 520, 752, 46, 780 is 2

Given Input Data is 520, 752, 46, 780

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 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 46 is 2 x 23

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 752) = 48880

GCD(520, 752) = ( 520 x 752 ) / 48880

GCD(520, 752) = 391040 / 48880

GCD(520, 752) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 46

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

LCM(8, 46) = 184

GCD(8, 46) = ( 8 x 46 ) / 184

GCD(8, 46) = 368 / 184

GCD(8, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 520, 752, 46, 780 is 2

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1. What is the GCD of 520, 752, 46, 780?

GCD of 520, 752, 46, 780 is 2

2. Where do I get the detailed procedure to find GCD of 520, 752, 46, 780?

You can find a detailed procedure to find GCD of 520, 752, 46, 780 on our page.

3. How to find GCD of 520, 752, 46, 780 on a calculator?

You can find the GCD of 520, 752, 46, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.