GCD of 959, 492, 27, 784 Calculator

Given Input numbers are 959, 492, 27, 784

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

Divisors of 959

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

1, 7, 137, 959

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 959, 492, 27, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 492, 27, 784 is 1.

Therefore, GCD of numbers 959, 492, 27, 784 is 1

Given Input Data is 959, 492, 27, 784

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(959, 492) = 471828

GCD(959, 492) = ( 959 x 492 ) / 471828

GCD(959, 492) = 471828 / 471828

GCD(959, 492) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 959, 492, 27, 784 is 1

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1. What is the GCD of 959, 492, 27, 784?

GCD of 959, 492, 27, 784 is 1

2. Where do I get the detailed procedure to find GCD of 959, 492, 27, 784?

You can find a detailed procedure to find GCD of 959, 492, 27, 784 on our page.

3. How to find GCD of 959, 492, 27, 784 on a calculator?

You can find the GCD of 959, 492, 27, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.