GCD of 210, 303, 42, 278 Calculator

Given Input numbers are 210, 303, 42, 278

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 210, 303, 42, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 303, 42, 278 is 1.

Therefore, GCD of numbers 210, 303, 42, 278 is 1

Given Input Data is 210, 303, 42, 278

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 303 is 3 x 101

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 278 is 2 x 139

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(210, 303) = 21210

GCD(210, 303) = ( 210 x 303 ) / 21210

GCD(210, 303) = 63630 / 21210

GCD(210, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 278

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

LCM(3, 278) = 834

GCD(3, 278) = ( 3 x 278 ) / 834

GCD(3, 278) = 834 / 834

GCD(3, 278) = 1

GCD of 210, 303, 42, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 743, 87, 682
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• GCD of 861, 370, 24, 415

1. What is the GCD of 210, 303, 42, 278?

GCD of 210, 303, 42, 278 is 1

2. Where do I get the detailed procedure to find GCD of 210, 303, 42, 278?

You can find a detailed procedure to find GCD of 210, 303, 42, 278 on our page.

3. How to find GCD of 210, 303, 42, 278 on a calculator?

You can find the GCD of 210, 303, 42, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.