GCD of 520, 364, 80, 752 Calculator

Given Input numbers are 520, 364, 80, 752

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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

Greatest Common Divisior

We found the divisors of 520, 364, 80, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 364, 80, 752 is 4.

Therefore, GCD of numbers 520, 364, 80, 752 is 4

Given Input Data is 520, 364, 80, 752

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 364) = 3640

GCD(520, 364) = ( 520 x 364 ) / 3640

GCD(520, 364) = 189280 / 3640

GCD(520, 364) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 80

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

LCM(52, 80) = 1040

GCD(52, 80) = ( 52 x 80 ) / 1040

GCD(52, 80) = 4160 / 1040

GCD(52, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 752

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

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

GCD(4, 752) = 3008 / 752

GCD(4, 752) = 4

GCD of 520, 364, 80, 752 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 859, 54, 862
• GCD of 655, 756, 24, 460
• GCD of 578, 918, 45, 859
• GCD of 794, 749, 60, 685
• GCD of 666, 179, 63, 941

1. What is the GCD of 520, 364, 80, 752?

GCD of 520, 364, 80, 752 is 4

2. Where do I get the detailed procedure to find GCD of 520, 364, 80, 752?

You can find a detailed procedure to find GCD of 520, 364, 80, 752 on our page.

3. How to find GCD of 520, 364, 80, 752 on a calculator?

You can find the GCD of 520, 364, 80, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.