GCD of 965, 349, 728, 984 Calculator

Given Input numbers are 965, 349, 728, 984

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

Divisors of 965

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

1, 5, 193, 965

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 965, 349, 728, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 349, 728, 984 is 1.

Therefore, GCD of numbers 965, 349, 728, 984 is 1

Given Input Data is 965, 349, 728, 984

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 349 is 349

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 984 is 2 x 2 x 2 x 3 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(965, 349) = 336785

GCD(965, 349) = ( 965 x 349 ) / 336785

GCD(965, 349) = 336785 / 336785

GCD(965, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 965, 349, 728, 984 is 1

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1. What is the GCD of 965, 349, 728, 984?

GCD of 965, 349, 728, 984 is 1

2. Where do I get the detailed procedure to find GCD of 965, 349, 728, 984?

You can find a detailed procedure to find GCD of 965, 349, 728, 984 on our page.

3. How to find GCD of 965, 349, 728, 984 on a calculator?

You can find the GCD of 965, 349, 728, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.