GCD of 375, 828, 917, 430 Calculator

Given Input numbers are 375, 828, 917, 430

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 430

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

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

Greatest Common Divisior

We found the divisors of 375, 828, 917, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 828, 917, 430 is 1.

Therefore, GCD of numbers 375, 828, 917, 430 is 1

Given Input Data is 375, 828, 917, 430

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 917 is 7 x 131

Prime Factorization of 430 is 2 x 5 x 43

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(375, 828) = 103500

GCD(375, 828) = ( 375 x 828 ) / 103500

GCD(375, 828) = 310500 / 103500

GCD(375, 828) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 917

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

LCM(3, 917) = 2751

GCD(3, 917) = ( 3 x 917 ) / 2751

GCD(3, 917) = 2751 / 2751

GCD(3, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

GCD of 375, 828, 917, 430 is 1

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• GCD of 180, 270, 764, 672
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• GCD of 687, 832, 573, 885

1. What is the GCD of 375, 828, 917, 430?

GCD of 375, 828, 917, 430 is 1

2. Where do I get the detailed procedure to find GCD of 375, 828, 917, 430?

You can find a detailed procedure to find GCD of 375, 828, 917, 430 on our page.

3. How to find GCD of 375, 828, 917, 430 on a calculator?

You can find the GCD of 375, 828, 917, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.