GCD of 624, 434, 757, 431 Calculator

Given Input numbers are 624, 434, 757, 431

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 431

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

1, 431

Greatest Common Divisior

We found the divisors of 624, 434, 757, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 434, 757, 431 is 1.

Therefore, GCD of numbers 624, 434, 757, 431 is 1

Given Input Data is 624, 434, 757, 431

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 757 is 757

Prime Factorization of 431 is 431

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(624, 434) = 135408

GCD(624, 434) = ( 624 x 434 ) / 135408

GCD(624, 434) = 270816 / 135408

GCD(624, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 624, 434, 757, 431 is 1

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1. What is the GCD of 624, 434, 757, 431?

GCD of 624, 434, 757, 431 is 1

2. Where do I get the detailed procedure to find GCD of 624, 434, 757, 431?

You can find a detailed procedure to find GCD of 624, 434, 757, 431 on our page.

3. How to find GCD of 624, 434, 757, 431 on a calculator?

You can find the GCD of 624, 434, 757, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.