GCD of 75, 577, 498, 663 Calculator

Given Input numbers are 75, 577, 498, 663

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 75, 577, 498, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 577, 498, 663 is 1.

Therefore, GCD of numbers 75, 577, 498, 663 is 1

Given Input Data is 75, 577, 498, 663

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 577 is 577

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 663 is 3 x 13 x 17

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(75, 577) = 43275

GCD(75, 577) = ( 75 x 577 ) / 43275

GCD(75, 577) = 43275 / 43275

GCD(75, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 75, 577, 498, 663 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 286, 904, 195
• GCD of 57, 553, 194, 443
• GCD of 81, 180, 472, 907
• GCD of 82, 281, 946, 564
• GCD of 41, 146, 155, 158

1. What is the GCD of 75, 577, 498, 663?

GCD of 75, 577, 498, 663 is 1

2. Where do I get the detailed procedure to find GCD of 75, 577, 498, 663?

You can find a detailed procedure to find GCD of 75, 577, 498, 663 on our page.

3. How to find GCD of 75, 577, 498, 663 on a calculator?

You can find the GCD of 75, 577, 498, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.