GCD of 30, 670, 614, 880 Calculator

Given Input numbers are 30, 670, 614, 880

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 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 30, 670, 614, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 670, 614, 880 is 2.

Therefore, GCD of numbers 30, 670, 614, 880 is 2

Given Input Data is 30, 670, 614, 880

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 670 is 2 x 5 x 67

Prime Factorization of 614 is 2 x 307

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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, 670) = 2010

GCD(30, 670) = ( 30 x 670 ) / 2010

GCD(30, 670) = 20100 / 2010

GCD(30, 670) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 614

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

LCM(10, 614) = 3070

GCD(10, 614) = ( 10 x 614 ) / 3070

GCD(10, 614) = 6140 / 3070

GCD(10, 614) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 880

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

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

GCD(2, 880) = 1760 / 880

GCD(2, 880) = 2

GCD of 30, 670, 614, 880 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 370, 300, 704
• GCD of 79, 687, 204, 877
• GCD of 53, 141, 454, 206
• GCD of 83, 535, 829, 184
• GCD of 32, 150, 204, 658

1. What is the GCD of 30, 670, 614, 880?

GCD of 30, 670, 614, 880 is 2

2. Where do I get the detailed procedure to find GCD of 30, 670, 614, 880?

You can find a detailed procedure to find GCD of 30, 670, 614, 880 on our page.

3. How to find GCD of 30, 670, 614, 880 on a calculator?

You can find the GCD of 30, 670, 614, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.