GCD of 342, 220, 10, 852 Calculator

Given Input numbers are 342, 220, 10, 852

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 342, 220, 10, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 220, 10, 852 is 2.

Therefore, GCD of numbers 342, 220, 10, 852 is 2

Given Input Data is 342, 220, 10, 852

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 10 is 2 x 5

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(342, 220) = 37620

GCD(342, 220) = ( 342 x 220 ) / 37620

GCD(342, 220) = 75240 / 37620

GCD(342, 220) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 342, 220, 10, 852 is 2

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1. What is the GCD of 342, 220, 10, 852?

GCD of 342, 220, 10, 852 is 2

2. Where do I get the detailed procedure to find GCD of 342, 220, 10, 852?

You can find a detailed procedure to find GCD of 342, 220, 10, 852 on our page.

3. How to find GCD of 342, 220, 10, 852 on a calculator?

You can find the GCD of 342, 220, 10, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.