GCD of 660, 958, 75, 499 Calculator

Given Input numbers are 660, 958, 75, 499

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 660, 958, 75, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 958, 75, 499 is 1.

Therefore, GCD of numbers 660, 958, 75, 499 is 1

Given Input Data is 660, 958, 75, 499

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 958 is 2 x 479

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 499 is 499

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(660, 958) = 316140

GCD(660, 958) = ( 660 x 958 ) / 316140

GCD(660, 958) = 632280 / 316140

GCD(660, 958) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 660, 958, 75, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 254, 96, 721
• GCD of 878, 540, 28, 796
• GCD of 181, 284, 45, 214
• GCD of 276, 506, 48, 172
• GCD of 925, 434, 41, 135

1. What is the GCD of 660, 958, 75, 499?

GCD of 660, 958, 75, 499 is 1

2. Where do I get the detailed procedure to find GCD of 660, 958, 75, 499?

You can find a detailed procedure to find GCD of 660, 958, 75, 499 on our page.

3. How to find GCD of 660, 958, 75, 499 on a calculator?

You can find the GCD of 660, 958, 75, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.