GCD of 279, 975, 742, 499 Calculator

Given Input numbers are 279, 975, 742, 499

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 279, 975, 742, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 975, 742, 499 is 1.

Therefore, GCD of numbers 279, 975, 742, 499 is 1

Given Input Data is 279, 975, 742, 499

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

Prime Factorization of 279 is 3 x 3 x 31

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

Prime Factorization of 742 is 2 x 7 x 53

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(279, 975) = 90675

GCD(279, 975) = ( 279 x 975 ) / 90675

GCD(279, 975) = 272025 / 90675

GCD(279, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 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 279, 975, 742, 499 is 1

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1. What is the GCD of 279, 975, 742, 499?

GCD of 279, 975, 742, 499 is 1

2. Where do I get the detailed procedure to find GCD of 279, 975, 742, 499?

You can find a detailed procedure to find GCD of 279, 975, 742, 499 on our page.

3. How to find GCD of 279, 975, 742, 499 on a calculator?

You can find the GCD of 279, 975, 742, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.