GCD of 990, 852, 942, 257 Calculator

Given Input numbers are 990, 852, 942, 257

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

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 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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 990, 852, 942, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 852, 942, 257 is 1.

Therefore, GCD of numbers 990, 852, 942, 257 is 1

Given Input Data is 990, 852, 942, 257

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

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

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 257 is 257

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(990, 852) = 140580

GCD(990, 852) = ( 990 x 852 ) / 140580

GCD(990, 852) = 843480 / 140580

GCD(990, 852) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 942

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

LCM(6, 942) = 942

GCD(6, 942) = ( 6 x 942 ) / 942

GCD(6, 942) = 5652 / 942

GCD(6, 942) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 257

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

LCM(6, 257) = 1542

GCD(6, 257) = ( 6 x 257 ) / 1542

GCD(6, 257) = 1542 / 1542

GCD(6, 257) = 1

GCD of 990, 852, 942, 257 is 1

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1. What is the GCD of 990, 852, 942, 257?

GCD of 990, 852, 942, 257 is 1

2. Where do I get the detailed procedure to find GCD of 990, 852, 942, 257?

You can find a detailed procedure to find GCD of 990, 852, 942, 257 on our page.

3. How to find GCD of 990, 852, 942, 257 on a calculator?

You can find the GCD of 990, 852, 942, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.