GCD of 742, 326, 96, 251 Calculator

Given Input numbers are 742, 326, 96, 251

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 742, 326, 96, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 326, 96, 251 is 1.

Therefore, GCD of numbers 742, 326, 96, 251 is 1

Given Input Data is 742, 326, 96, 251

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 326 is 2 x 163

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

Prime Factorization of 251 is 251

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(742, 326) = 120946

GCD(742, 326) = ( 742 x 326 ) / 120946

GCD(742, 326) = 241892 / 120946

GCD(742, 326) = 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 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

GCD of 742, 326, 96, 251 is 1

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1. What is the GCD of 742, 326, 96, 251?

GCD of 742, 326, 96, 251 is 1

2. Where do I get the detailed procedure to find GCD of 742, 326, 96, 251?

You can find a detailed procedure to find GCD of 742, 326, 96, 251 on our page.

3. How to find GCD of 742, 326, 96, 251 on a calculator?

You can find the GCD of 742, 326, 96, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.