GCD of 748, 464, 334, 781 Calculator

Given Input numbers are 748, 464, 334, 781

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 748, 464, 334, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 464, 334, 781 is 1.

Therefore, GCD of numbers 748, 464, 334, 781 is 1

Given Input Data is 748, 464, 334, 781

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 334 is 2 x 167

Prime Factorization of 781 is 11 x 71

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(748, 464) = 86768

GCD(748, 464) = ( 748 x 464 ) / 86768

GCD(748, 464) = 347072 / 86768

GCD(748, 464) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 334

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

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

GCD(4, 334) = 1336 / 668

GCD(4, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 748, 464, 334, 781 is 1

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1. What is the GCD of 748, 464, 334, 781?

GCD of 748, 464, 334, 781 is 1

2. Where do I get the detailed procedure to find GCD of 748, 464, 334, 781?

You can find a detailed procedure to find GCD of 748, 464, 334, 781 on our page.

3. How to find GCD of 748, 464, 334, 781 on a calculator?

You can find the GCD of 748, 464, 334, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.