GCD of 969, 355, 28, 994 Calculator

Given Input numbers are 969, 355, 28, 994

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 994

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

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

Greatest Common Divisior

We found the divisors of 969, 355, 28, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 355, 28, 994 is 1.

Therefore, GCD of numbers 969, 355, 28, 994 is 1

Given Input Data is 969, 355, 28, 994

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 355 is 5 x 71

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 994 is 2 x 7 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(969, 355) = 343995

GCD(969, 355) = ( 969 x 355 ) / 343995

GCD(969, 355) = 343995 / 343995

GCD(969, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 969, 355, 28, 994 is 1

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1. What is the GCD of 969, 355, 28, 994?

GCD of 969, 355, 28, 994 is 1

2. Where do I get the detailed procedure to find GCD of 969, 355, 28, 994?

You can find a detailed procedure to find GCD of 969, 355, 28, 994 on our page.

3. How to find GCD of 969, 355, 28, 994 on a calculator?

You can find the GCD of 969, 355, 28, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.