GCD of 301, 774, 528, 762 Calculator

Given Input numbers are 301, 774, 528, 762

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 301, 774, 528, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 774, 528, 762 is 1.

Therefore, GCD of numbers 301, 774, 528, 762 is 1

Given Input Data is 301, 774, 528, 762

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 774 is 2 x 3 x 3 x 43

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

Prime Factorization of 762 is 2 x 3 x 127

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(301, 774) = 5418

GCD(301, 774) = ( 301 x 774 ) / 5418

GCD(301, 774) = 232974 / 5418

GCD(301, 774) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 528

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

LCM(43, 528) = 22704

GCD(43, 528) = ( 43 x 528 ) / 22704

GCD(43, 528) = 22704 / 22704

GCD(43, 528) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 301, 774, 528, 762 is 1

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1. What is the GCD of 301, 774, 528, 762?

GCD of 301, 774, 528, 762 is 1

2. Where do I get the detailed procedure to find GCD of 301, 774, 528, 762?

You can find a detailed procedure to find GCD of 301, 774, 528, 762 on our page.

3. How to find GCD of 301, 774, 528, 762 on a calculator?

You can find the GCD of 301, 774, 528, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.