GCD of 240, 980, 32, 516 Calculator

Given Input numbers are 240, 980, 32, 516

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 240, 980, 32, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 980, 32, 516 is 4.

Therefore, GCD of numbers 240, 980, 32, 516 is 4

Given Input Data is 240, 980, 32, 516

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(240, 980) = 11760

GCD(240, 980) = ( 240 x 980 ) / 11760

GCD(240, 980) = 235200 / 11760

GCD(240, 980) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 32

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

LCM(20, 32) = 160

GCD(20, 32) = ( 20 x 32 ) / 160

GCD(20, 32) = 640 / 160

GCD(20, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 516

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

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

GCD(4, 516) = 2064 / 516

GCD(4, 516) = 4

GCD of 240, 980, 32, 516 is 4

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• GCD of 518, 613, 71, 237
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• GCD of 478, 240, 52, 528

1. What is the GCD of 240, 980, 32, 516?

GCD of 240, 980, 32, 516 is 4

2. Where do I get the detailed procedure to find GCD of 240, 980, 32, 516?

You can find a detailed procedure to find GCD of 240, 980, 32, 516 on our page.

3. How to find GCD of 240, 980, 32, 516 on a calculator?

You can find the GCD of 240, 980, 32, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.