GCD of 10, 935, 144, 212 Calculator

Given Input numbers are 10, 935, 144, 212

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 10, 935, 144, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 935, 144, 212 is 1.

Therefore, GCD of numbers 10, 935, 144, 212 is 1

Given Input Data is 10, 935, 144, 212

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 212 is 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(10, 935) = 1870

GCD(10, 935) = ( 10 x 935 ) / 1870

GCD(10, 935) = 9350 / 1870

GCD(10, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 144

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

LCM(5, 144) = 720

GCD(5, 144) = ( 5 x 144 ) / 720

GCD(5, 144) = 720 / 720

GCD(5, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 10, 935, 144, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 233, 388, 173
• GCD of 55, 547, 497, 842
• GCD of 43, 544, 489, 227
• GCD of 49, 486, 102, 216
• GCD of 66, 350, 267, 373

1. What is the GCD of 10, 935, 144, 212?

GCD of 10, 935, 144, 212 is 1

2. Where do I get the detailed procedure to find GCD of 10, 935, 144, 212?

You can find a detailed procedure to find GCD of 10, 935, 144, 212 on our page.

3. How to find GCD of 10, 935, 144, 212 on a calculator?

You can find the GCD of 10, 935, 144, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.