GCD of 130, 234, 620, 680 Calculator

Given Input numbers are 130, 234, 620, 680

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 130, 234, 620, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 234, 620, 680 is 2.

Therefore, GCD of numbers 130, 234, 620, 680 is 2

Given Input Data is 130, 234, 620, 680

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(130, 234) = 1170

GCD(130, 234) = ( 130 x 234 ) / 1170

GCD(130, 234) = 30420 / 1170

GCD(130, 234) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 620

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

LCM(26, 620) = 8060

GCD(26, 620) = ( 26 x 620 ) / 8060

GCD(26, 620) = 16120 / 8060

GCD(26, 620) = 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 130, 234, 620, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 860, 934, 240
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• GCD of 120, 666, 141, 150

1. What is the GCD of 130, 234, 620, 680?

GCD of 130, 234, 620, 680 is 2

2. Where do I get the detailed procedure to find GCD of 130, 234, 620, 680?

You can find a detailed procedure to find GCD of 130, 234, 620, 680 on our page.

3. How to find GCD of 130, 234, 620, 680 on a calculator?

You can find the GCD of 130, 234, 620, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.