GCD of 520, 730, 978, 432 Calculator

Given Input numbers are 520, 730, 978, 432

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 520, 730, 978, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 730, 978, 432 is 2.

Therefore, GCD of numbers 520, 730, 978, 432 is 2

Given Input Data is 520, 730, 978, 432

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 730 is 2 x 5 x 73

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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, 730) = 37960

GCD(520, 730) = ( 520 x 730 ) / 37960

GCD(520, 730) = 379600 / 37960

GCD(520, 730) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 978

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

LCM(10, 978) = 4890

GCD(10, 978) = ( 10 x 978 ) / 4890

GCD(10, 978) = 9780 / 4890

GCD(10, 978) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

GCD of 520, 730, 978, 432 is 2

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1. What is the GCD of 520, 730, 978, 432?

GCD of 520, 730, 978, 432 is 2

2. Where do I get the detailed procedure to find GCD of 520, 730, 978, 432?

You can find a detailed procedure to find GCD of 520, 730, 978, 432 on our page.

3. How to find GCD of 520, 730, 978, 432 on a calculator?

You can find the GCD of 520, 730, 978, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.