GCD of 538, 780, 94, 680 Calculator

Given Input numbers are 538, 780, 94, 680

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 538, 780, 94, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 780, 94, 680 is 2.

Therefore, GCD of numbers 538, 780, 94, 680 is 2

Given Input Data is 538, 780, 94, 680

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

Prime Factorization of 538 is 2 x 269

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

Prime Factorization of 94 is 2 x 47

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(538, 780) = 209820

GCD(538, 780) = ( 538 x 780 ) / 209820

GCD(538, 780) = 419640 / 209820

GCD(538, 780) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 538, 780, 94, 680 is 2

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1. What is the GCD of 538, 780, 94, 680?

GCD of 538, 780, 94, 680 is 2

2. Where do I get the detailed procedure to find GCD of 538, 780, 94, 680?

You can find a detailed procedure to find GCD of 538, 780, 94, 680 on our page.

3. How to find GCD of 538, 780, 94, 680 on a calculator?

You can find the GCD of 538, 780, 94, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.