GCD of 464, 116, 680 Calculator

Given Input numbers are 464, 116, 680

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

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 464, 116, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 116, 680 is 4.

Therefore, GCD of numbers 464, 116, 680 is 4

Given Input Data is 464, 116, 680

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

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(464, 116) = 464

GCD(464, 116) = ( 464 x 116 ) / 464

GCD(464, 116) = 53824 / 464

GCD(464, 116) = 116

Step2:

Here we consider the GCD from the above i.e. 116 as first number and the next as 680

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

LCM(116, 680) = 19720

GCD(116, 680) = ( 116 x 680 ) / 19720

GCD(116, 680) = 78880 / 19720

GCD(116, 680) = 4

GCD of 464, 116, 680 is 4

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1. What is the GCD of 464, 116, 680?

GCD of 464, 116, 680 is 4

2. Where do I get the detailed procedure to find GCD of 464, 116, 680?

You can find a detailed procedure to find GCD of 464, 116, 680 on our page.

3. How to find GCD of 464, 116, 680 on a calculator?

You can find the GCD of 464, 116, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.