GCD of 728, 778, 478, 975 Calculator

Given Input numbers are 728, 778, 478, 975

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 778

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

1, 2, 389, 778

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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

Greatest Common Divisior

We found the divisors of 728, 778, 478, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 778, 478, 975 is 1.

Therefore, GCD of numbers 728, 778, 478, 975 is 1

Given Input Data is 728, 778, 478, 975

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 778 is 2 x 389

Prime Factorization of 478 is 2 x 239

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

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(728, 778) = 283192

GCD(728, 778) = ( 728 x 778 ) / 283192

GCD(728, 778) = 566384 / 283192

GCD(728, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

GCD of 728, 778, 478, 975 is 1

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1. What is the GCD of 728, 778, 478, 975?

GCD of 728, 778, 478, 975 is 1

2. Where do I get the detailed procedure to find GCD of 728, 778, 478, 975?

You can find a detailed procedure to find GCD of 728, 778, 478, 975 on our page.

3. How to find GCD of 728, 778, 478, 975 on a calculator?

You can find the GCD of 728, 778, 478, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.