GCD of 842, 456, 96, 959 Calculator

Given Input numbers are 842, 456, 96, 959

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 959

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

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 842, 456, 96, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 456, 96, 959 is 1.

Therefore, GCD of numbers 842, 456, 96, 959 is 1

Given Input Data is 842, 456, 96, 959

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 959 is 7 x 137

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(842, 456) = 191976

GCD(842, 456) = ( 842 x 456 ) / 191976

GCD(842, 456) = 383952 / 191976

GCD(842, 456) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

GCD of 842, 456, 96, 959 is 1

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1. What is the GCD of 842, 456, 96, 959?

GCD of 842, 456, 96, 959 is 1

2. Where do I get the detailed procedure to find GCD of 842, 456, 96, 959?

You can find a detailed procedure to find GCD of 842, 456, 96, 959 on our page.

3. How to find GCD of 842, 456, 96, 959 on a calculator?

You can find the GCD of 842, 456, 96, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.