GCD of 125, 408, 703, 466 Calculator

Given Input numbers are 125, 408, 703, 466

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 125, 408, 703, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 408, 703, 466 is 1.

Therefore, GCD of numbers 125, 408, 703, 466 is 1

Given Input Data is 125, 408, 703, 466

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 703 is 19 x 37

Prime Factorization of 466 is 2 x 233

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(125, 408) = 51000

GCD(125, 408) = ( 125 x 408 ) / 51000

GCD(125, 408) = 51000 / 51000

GCD(125, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 125, 408, 703, 466 is 1

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1. What is the GCD of 125, 408, 703, 466?

GCD of 125, 408, 703, 466 is 1

2. Where do I get the detailed procedure to find GCD of 125, 408, 703, 466?

You can find a detailed procedure to find GCD of 125, 408, 703, 466 on our page.

3. How to find GCD of 125, 408, 703, 466 on a calculator?

You can find the GCD of 125, 408, 703, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.