GCD of 990, 343, 965, 284 Calculator

Given Input numbers are 990, 343, 965, 284

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 990, 343, 965, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 343, 965, 284 is 1.

Therefore, GCD of numbers 990, 343, 965, 284 is 1

Given Input Data is 990, 343, 965, 284

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 343 is 7 x 7 x 7

Prime Factorization of 965 is 5 x 193

Prime Factorization of 284 is 2 x 2 x 71

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, 343) = 339570

GCD(990, 343) = ( 990 x 343 ) / 339570

GCD(990, 343) = 339570 / 339570

GCD(990, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 990, 343, 965, 284 is 1

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1. What is the GCD of 990, 343, 965, 284?

GCD of 990, 343, 965, 284 is 1

2. Where do I get the detailed procedure to find GCD of 990, 343, 965, 284?

You can find a detailed procedure to find GCD of 990, 343, 965, 284 on our page.

3. How to find GCD of 990, 343, 965, 284 on a calculator?

You can find the GCD of 990, 343, 965, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.