GCD of 260, 386, 624, 716 Calculator

Given Input numbers are 260, 386, 624, 716

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 260, 386, 624, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 386, 624, 716 is 2.

Therefore, GCD of numbers 260, 386, 624, 716 is 2

Given Input Data is 260, 386, 624, 716

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 386 is 2 x 193

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 716 is 2 x 2 x 179

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(260, 386) = 50180

GCD(260, 386) = ( 260 x 386 ) / 50180

GCD(260, 386) = 100360 / 50180

GCD(260, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

GCD of 260, 386, 624, 716 is 2

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1. What is the GCD of 260, 386, 624, 716?

GCD of 260, 386, 624, 716 is 2

2. Where do I get the detailed procedure to find GCD of 260, 386, 624, 716?

You can find a detailed procedure to find GCD of 260, 386, 624, 716 on our page.

3. How to find GCD of 260, 386, 624, 716 on a calculator?

You can find the GCD of 260, 386, 624, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.