GCD of 75, 264, 535, 494 Calculator

Given Input numbers are 75, 264, 535, 494

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 75, 264, 535, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 264, 535, 494 is 1.

Therefore, GCD of numbers 75, 264, 535, 494 is 1

Given Input Data is 75, 264, 535, 494

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 535 is 5 x 107

Prime Factorization of 494 is 2 x 13 x 19

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, 264) = 6600

GCD(75, 264) = ( 75 x 264 ) / 6600

GCD(75, 264) = 19800 / 6600

GCD(75, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 535

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

LCM(3, 535) = 1605

GCD(3, 535) = ( 3 x 535 ) / 1605

GCD(3, 535) = 1605 / 1605

GCD(3, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 75, 264, 535, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 315, 919, 657
• GCD of 53, 100, 151, 178
• GCD of 40, 141, 520, 998
• GCD of 10, 895, 297, 467
• GCD of 80, 188, 364, 260

1. What is the GCD of 75, 264, 535, 494?

GCD of 75, 264, 535, 494 is 1

2. Where do I get the detailed procedure to find GCD of 75, 264, 535, 494?

You can find a detailed procedure to find GCD of 75, 264, 535, 494 on our page.

3. How to find GCD of 75, 264, 535, 494 on a calculator?

You can find the GCD of 75, 264, 535, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.