GCD of 431, 749, 41, 672 Calculator

Given Input numbers are 431, 749, 41, 672

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 431, 749, 41, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 749, 41, 672 is 1.

Therefore, GCD of numbers 431, 749, 41, 672 is 1

Given Input Data is 431, 749, 41, 672

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

Prime Factorization of 431 is 431

Prime Factorization of 749 is 7 x 107

Prime Factorization of 41 is 41

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 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(431, 749) = 322819

GCD(431, 749) = ( 431 x 749 ) / 322819

GCD(431, 749) = 322819 / 322819

GCD(431, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 431, 749, 41, 672 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 285, 25, 250
• GCD of 476, 607, 22, 163
• GCD of 460, 823, 68, 645
• GCD of 683, 870, 37, 588
• GCD of 133, 801, 74, 536

1. What is the GCD of 431, 749, 41, 672?

GCD of 431, 749, 41, 672 is 1

2. Where do I get the detailed procedure to find GCD of 431, 749, 41, 672?

You can find a detailed procedure to find GCD of 431, 749, 41, 672 on our page.

3. How to find GCD of 431, 749, 41, 672 on a calculator?

You can find the GCD of 431, 749, 41, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.