GCD of 488, 898, 71, 750 Calculator

Given Input numbers are 488, 898, 71, 750

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 488, 898, 71, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 898, 71, 750 is 1.

Therefore, GCD of numbers 488, 898, 71, 750 is 1

Given Input Data is 488, 898, 71, 750

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 898 is 2 x 449

Prime Factorization of 71 is 71

Prime Factorization of 750 is 2 x 3 x 5 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(488, 898) = 219112

GCD(488, 898) = ( 488 x 898 ) / 219112

GCD(488, 898) = 438224 / 219112

GCD(488, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 488, 898, 71, 750 is 1

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1. What is the GCD of 488, 898, 71, 750?

GCD of 488, 898, 71, 750 is 1

2. Where do I get the detailed procedure to find GCD of 488, 898, 71, 750?

You can find a detailed procedure to find GCD of 488, 898, 71, 750 on our page.

3. How to find GCD of 488, 898, 71, 750 on a calculator?

You can find the GCD of 488, 898, 71, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.