GCD of 514, 480, 60, 784 Calculator

Given Input numbers are 514, 480, 60, 784

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 514, 480, 60, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 480, 60, 784 is 2.

Therefore, GCD of numbers 514, 480, 60, 784 is 2

Given Input Data is 514, 480, 60, 784

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(514, 480) = 123360

GCD(514, 480) = ( 514 x 480 ) / 123360

GCD(514, 480) = 246720 / 123360

GCD(514, 480) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 514, 480, 60, 784 is 2

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• GCD of 280, 769, 82, 788
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1. What is the GCD of 514, 480, 60, 784?

GCD of 514, 480, 60, 784 is 2

2. Where do I get the detailed procedure to find GCD of 514, 480, 60, 784?

You can find a detailed procedure to find GCD of 514, 480, 60, 784 on our page.

3. How to find GCD of 514, 480, 60, 784 on a calculator?

You can find the GCD of 514, 480, 60, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.