GCD of 30, 310, 792, 680 Calculator

Given Input numbers are 30, 310, 792, 680

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 30, 310, 792, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 310, 792, 680 is 2.

Therefore, GCD of numbers 30, 310, 792, 680 is 2

Given Input Data is 30, 310, 792, 680

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(30, 310) = 930

GCD(30, 310) = ( 30 x 310 ) / 930

GCD(30, 310) = 9300 / 930

GCD(30, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 792

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

LCM(10, 792) = 3960

GCD(10, 792) = ( 10 x 792 ) / 3960

GCD(10, 792) = 7920 / 3960

GCD(10, 792) = 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 30, 310, 792, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 980, 922, 525
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• GCD of 24, 889, 798, 824
• GCD of 34, 657, 840, 760
• GCD of 37, 794, 678, 953

1. What is the GCD of 30, 310, 792, 680?

GCD of 30, 310, 792, 680 is 2

2. Where do I get the detailed procedure to find GCD of 30, 310, 792, 680?

You can find a detailed procedure to find GCD of 30, 310, 792, 680 on our page.

3. How to find GCD of 30, 310, 792, 680 on a calculator?

You can find the GCD of 30, 310, 792, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.