GCD of 352, 428, 375, 458 Calculator

Given Input numbers are 352, 428, 375, 458

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 352, 428, 375, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 428, 375, 458 is 1.

Therefore, GCD of numbers 352, 428, 375, 458 is 1

Given Input Data is 352, 428, 375, 458

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 458 is 2 x 229

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(352, 428) = 37664

GCD(352, 428) = ( 352 x 428 ) / 37664

GCD(352, 428) = 150656 / 37664

GCD(352, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 375

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

LCM(4, 375) = 1500

GCD(4, 375) = ( 4 x 375 ) / 1500

GCD(4, 375) = 1500 / 1500

GCD(4, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 352, 428, 375, 458 is 1

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1. What is the GCD of 352, 428, 375, 458?

GCD of 352, 428, 375, 458 is 1

2. Where do I get the detailed procedure to find GCD of 352, 428, 375, 458?

You can find a detailed procedure to find GCD of 352, 428, 375, 458 on our page.

3. How to find GCD of 352, 428, 375, 458 on a calculator?

You can find the GCD of 352, 428, 375, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.