GCD of 746, 289, 64, 774 Calculator

Given Input numbers are 746, 289, 64, 774

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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

Greatest Common Divisior

We found the divisors of 746, 289, 64, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 289, 64, 774 is 1.

Therefore, GCD of numbers 746, 289, 64, 774 is 1

Given Input Data is 746, 289, 64, 774

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 289 is 17 x 17

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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

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(746, 289) = 215594

GCD(746, 289) = ( 746 x 289 ) / 215594

GCD(746, 289) = 215594 / 215594

GCD(746, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 746, 289, 64, 774 is 1

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1. What is the GCD of 746, 289, 64, 774?

GCD of 746, 289, 64, 774 is 1

2. Where do I get the detailed procedure to find GCD of 746, 289, 64, 774?

You can find a detailed procedure to find GCD of 746, 289, 64, 774 on our page.

3. How to find GCD of 746, 289, 64, 774 on a calculator?

You can find the GCD of 746, 289, 64, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.