GCD of 780, 316, 512 Calculator

Given Input numbers are 780, 316, 512

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

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 780, 316, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 316, 512 is 4.

Therefore, GCD of numbers 780, 316, 512 is 4

Given Input Data is 780, 316, 512

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

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(780, 316) = 61620

GCD(780, 316) = ( 780 x 316 ) / 61620

GCD(780, 316) = 246480 / 61620

GCD(780, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 512

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

LCM(4, 512) = 512

GCD(4, 512) = ( 4 x 512 ) / 512

GCD(4, 512) = 2048 / 512

GCD(4, 512) = 4

GCD of 780, 316, 512 is 4

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• GCD of 525, 415, 320
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1. What is the GCD of 780, 316, 512?

GCD of 780, 316, 512 is 4

2. Where do I get the detailed procedure to find GCD of 780, 316, 512?

You can find a detailed procedure to find GCD of 780, 316, 512 on our page.

3. How to find GCD of 780, 316, 512 on a calculator?

You can find the GCD of 780, 316, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.