GCD of 920, 430, 624, 235 Calculator

Given Input numbers are 920, 430, 624, 235

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

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 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 920, 430, 624, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 430, 624, 235 is 1.

Therefore, GCD of numbers 920, 430, 624, 235 is 1

Given Input Data is 920, 430, 624, 235

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 430 is 2 x 5 x 43

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

Prime Factorization of 235 is 5 x 47

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(920, 430) = 39560

GCD(920, 430) = ( 920 x 430 ) / 39560

GCD(920, 430) = 395600 / 39560

GCD(920, 430) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 624

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

LCM(10, 624) = 3120

GCD(10, 624) = ( 10 x 624 ) / 3120

GCD(10, 624) = 6240 / 3120

GCD(10, 624) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 235

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

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

GCD(2, 235) = 470 / 470

GCD(2, 235) = 1

GCD of 920, 430, 624, 235 is 1

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1. What is the GCD of 920, 430, 624, 235?

GCD of 920, 430, 624, 235 is 1

2. Where do I get the detailed procedure to find GCD of 920, 430, 624, 235?

You can find a detailed procedure to find GCD of 920, 430, 624, 235 on our page.

3. How to find GCD of 920, 430, 624, 235 on a calculator?

You can find the GCD of 920, 430, 624, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.