GCD of 610, 448, 75 Calculator

Given Input numbers are 610, 448, 75

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 75

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

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 610, 448, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 448, 75 is 1.

Therefore, GCD of numbers 610, 448, 75 is 1

Given Input Data is 610, 448, 75

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 75 is 3 x 5 x 5

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(610, 448) = 136640

GCD(610, 448) = ( 610 x 448 ) / 136640

GCD(610, 448) = 273280 / 136640

GCD(610, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

GCD of 610, 448, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 271, 72
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• GCD of 240, 432, 11
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1. What is the GCD of 610, 448, 75?

GCD of 610, 448, 75 is 1

2. Where do I get the detailed procedure to find GCD of 610, 448, 75?

You can find a detailed procedure to find GCD of 610, 448, 75 on our page.

3. How to find GCD of 610, 448, 75 on a calculator?

You can find the GCD of 610, 448, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.