GCD of 778, 528, 75, 297 Calculator

Given Input numbers are 778, 528, 75, 297

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 778, 528, 75, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 528, 75, 297 is 1.

Therefore, GCD of numbers 778, 528, 75, 297 is 1

Given Input Data is 778, 528, 75, 297

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(778, 528) = 205392

GCD(778, 528) = ( 778 x 528 ) / 205392

GCD(778, 528) = 410784 / 205392

GCD(778, 528) = 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 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 778, 528, 75, 297 is 1

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1. What is the GCD of 778, 528, 75, 297?

GCD of 778, 528, 75, 297 is 1

2. Where do I get the detailed procedure to find GCD of 778, 528, 75, 297?

You can find a detailed procedure to find GCD of 778, 528, 75, 297 on our page.

3. How to find GCD of 778, 528, 75, 297 on a calculator?

You can find the GCD of 778, 528, 75, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.