GCD of 771, 678, 464 Calculator

Given Input numbers are 771, 678, 464

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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

Greatest Common Divisior

We found the divisors of 771, 678, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 678, 464 is 1.

Therefore, GCD of numbers 771, 678, 464 is 1

Given Input Data is 771, 678, 464

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 678 is 2 x 3 x 113

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

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(771, 678) = 174246

GCD(771, 678) = ( 771 x 678 ) / 174246

GCD(771, 678) = 522738 / 174246

GCD(771, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 464

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

LCM(3, 464) = 1392

GCD(3, 464) = ( 3 x 464 ) / 1392

GCD(3, 464) = 1392 / 1392

GCD(3, 464) = 1

GCD of 771, 678, 464 is 1

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1. What is the GCD of 771, 678, 464?

GCD of 771, 678, 464 is 1

2. Where do I get the detailed procedure to find GCD of 771, 678, 464?

You can find a detailed procedure to find GCD of 771, 678, 464 on our page.

3. How to find GCD of 771, 678, 464 on a calculator?

You can find the GCD of 771, 678, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.