GCD of 253, 994, 84, 902 Calculator

Given Input numbers are 253, 994, 84, 902

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 253, 994, 84, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 994, 84, 902 is 1.

Therefore, GCD of numbers 253, 994, 84, 902 is 1

Given Input Data is 253, 994, 84, 902

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 902 is 2 x 11 x 41

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(253, 994) = 251482

GCD(253, 994) = ( 253 x 994 ) / 251482

GCD(253, 994) = 251482 / 251482

GCD(253, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 253, 994, 84, 902 is 1

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1. What is the GCD of 253, 994, 84, 902?

GCD of 253, 994, 84, 902 is 1

2. Where do I get the detailed procedure to find GCD of 253, 994, 84, 902?

You can find a detailed procedure to find GCD of 253, 994, 84, 902 on our page.

3. How to find GCD of 253, 994, 84, 902 on a calculator?

You can find the GCD of 253, 994, 84, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.