GCD of 680, 528, 54, 626 Calculator

Given Input numbers are 680, 528, 54, 626

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

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 680, 528, 54, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 528, 54, 626 is 2.

Therefore, GCD of numbers 680, 528, 54, 626 is 2

Given Input Data is 680, 528, 54, 626

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

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 626 is 2 x 313

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(680, 528) = 44880

GCD(680, 528) = ( 680 x 528 ) / 44880

GCD(680, 528) = 359040 / 44880

GCD(680, 528) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 54

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

LCM(8, 54) = 216

GCD(8, 54) = ( 8 x 54 ) / 216

GCD(8, 54) = 432 / 216

GCD(8, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 626

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

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

GCD(2, 626) = 1252 / 626

GCD(2, 626) = 2

GCD of 680, 528, 54, 626 is 2

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1. What is the GCD of 680, 528, 54, 626?

GCD of 680, 528, 54, 626 is 2

2. Where do I get the detailed procedure to find GCD of 680, 528, 54, 626?

You can find a detailed procedure to find GCD of 680, 528, 54, 626 on our page.

3. How to find GCD of 680, 528, 54, 626 on a calculator?

You can find the GCD of 680, 528, 54, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.