GCD of 431, 298, 96, 739 Calculator

Given Input numbers are 431, 298, 96, 739

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 431, 298, 96, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 298, 96, 739 is 1.

Therefore, GCD of numbers 431, 298, 96, 739 is 1

Given Input Data is 431, 298, 96, 739

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

Prime Factorization of 431 is 431

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 739 is 739

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(431, 298) = 128438

GCD(431, 298) = ( 431 x 298 ) / 128438

GCD(431, 298) = 128438 / 128438

GCD(431, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 431, 298, 96, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 931, 65, 517
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• GCD of 454, 982, 84, 199

1. What is the GCD of 431, 298, 96, 739?

GCD of 431, 298, 96, 739 is 1

2. Where do I get the detailed procedure to find GCD of 431, 298, 96, 739?

You can find a detailed procedure to find GCD of 431, 298, 96, 739 on our page.

3. How to find GCD of 431, 298, 96, 739 on a calculator?

You can find the GCD of 431, 298, 96, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.