GCD of 270, 858, 22, 930 Calculator

Given Input numbers are 270, 858, 22, 930

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 270, 858, 22, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 858, 22, 930 is 2.

Therefore, GCD of numbers 270, 858, 22, 930 is 2

Given Input Data is 270, 858, 22, 930

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(270, 858) = 38610

GCD(270, 858) = ( 270 x 858 ) / 38610

GCD(270, 858) = 231660 / 38610

GCD(270, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 22

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

LCM(6, 22) = 66

GCD(6, 22) = ( 6 x 22 ) / 66

GCD(6, 22) = 132 / 66

GCD(6, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 930

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

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

GCD(2, 930) = 1860 / 930

GCD(2, 930) = 2

GCD of 270, 858, 22, 930 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 995, 76, 971
• GCD of 542, 482, 42, 669
• GCD of 468, 503, 29, 131
• GCD of 394, 612, 88, 897
• GCD of 640, 200, 40, 978

1. What is the GCD of 270, 858, 22, 930?

GCD of 270, 858, 22, 930 is 2

2. Where do I get the detailed procedure to find GCD of 270, 858, 22, 930?

You can find a detailed procedure to find GCD of 270, 858, 22, 930 on our page.

3. How to find GCD of 270, 858, 22, 930 on a calculator?

You can find the GCD of 270, 858, 22, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.