GCD of 902, 990, 959, 295 Calculator

Given Input numbers are 902, 990, 959, 295

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

Divisors of 902

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

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 902, 990, 959, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 990, 959, 295 is 1.

Therefore, GCD of numbers 902, 990, 959, 295 is 1

Given Input Data is 902, 990, 959, 295

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 959 is 7 x 137

Prime Factorization of 295 is 5 x 59

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(902, 990) = 40590

GCD(902, 990) = ( 902 x 990 ) / 40590

GCD(902, 990) = 892980 / 40590

GCD(902, 990) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 959

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

LCM(22, 959) = 21098

GCD(22, 959) = ( 22 x 959 ) / 21098

GCD(22, 959) = 21098 / 21098

GCD(22, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 902, 990, 959, 295 is 1

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1. What is the GCD of 902, 990, 959, 295?

GCD of 902, 990, 959, 295 is 1

2. Where do I get the detailed procedure to find GCD of 902, 990, 959, 295?

You can find a detailed procedure to find GCD of 902, 990, 959, 295 on our page.

3. How to find GCD of 902, 990, 959, 295 on a calculator?

You can find the GCD of 902, 990, 959, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.