GCD of 975, 182, 73, 499 Calculator

Given Input numbers are 975, 182, 73, 499

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 975, 182, 73, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 182, 73, 499 is 1.

Therefore, GCD of numbers 975, 182, 73, 499 is 1

Given Input Data is 975, 182, 73, 499

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 73 is 73

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(975, 182) = 13650

GCD(975, 182) = ( 975 x 182 ) / 13650

GCD(975, 182) = 177450 / 13650

GCD(975, 182) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 73

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

LCM(13, 73) = 949

GCD(13, 73) = ( 13 x 73 ) / 949

GCD(13, 73) = 949 / 949

GCD(13, 73) = 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 975, 182, 73, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 216, 16, 969
• GCD of 262, 370, 92, 957
• GCD of 433, 940, 95, 256
• GCD of 952, 601, 21, 806
• GCD of 858, 670, 89, 575

1. What is the GCD of 975, 182, 73, 499?

GCD of 975, 182, 73, 499 is 1

2. Where do I get the detailed procedure to find GCD of 975, 182, 73, 499?

You can find a detailed procedure to find GCD of 975, 182, 73, 499 on our page.

3. How to find GCD of 975, 182, 73, 499 on a calculator?

You can find the GCD of 975, 182, 73, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.