GCD of 628, 152, 75, 458 Calculator

Given Input numbers are 628, 152, 75, 458

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 628, 152, 75, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 152, 75, 458 is 1.

Therefore, GCD of numbers 628, 152, 75, 458 is 1

Given Input Data is 628, 152, 75, 458

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 75 is 3 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(628, 152) = 23864

GCD(628, 152) = ( 628 x 152 ) / 23864

GCD(628, 152) = 95456 / 23864

GCD(628, 152) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 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 628, 152, 75, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 741, 98, 532
• GCD of 997, 599, 77, 359
• GCD of 559, 886, 87, 850
• GCD of 154, 982, 74, 256
• GCD of 851, 243, 99, 229

1. What is the GCD of 628, 152, 75, 458?

GCD of 628, 152, 75, 458 is 1

2. Where do I get the detailed procedure to find GCD of 628, 152, 75, 458?

You can find a detailed procedure to find GCD of 628, 152, 75, 458 on our page.

3. How to find GCD of 628, 152, 75, 458 on a calculator?

You can find the GCD of 628, 152, 75, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.