GCD of 160, 410, 432, 713 Calculator

Given Input numbers are 160, 410, 432, 713

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 160, 410, 432, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 410, 432, 713 is 1.

Therefore, GCD of numbers 160, 410, 432, 713 is 1

Given Input Data is 160, 410, 432, 713

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 713 is 23 x 31

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(160, 410) = 6560

GCD(160, 410) = ( 160 x 410 ) / 6560

GCD(160, 410) = 65600 / 6560

GCD(160, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 432

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

LCM(10, 432) = 2160

GCD(10, 432) = ( 10 x 432 ) / 2160

GCD(10, 432) = 4320 / 2160

GCD(10, 432) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

GCD of 160, 410, 432, 713 is 1

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1. What is the GCD of 160, 410, 432, 713?

GCD of 160, 410, 432, 713 is 1

2. Where do I get the detailed procedure to find GCD of 160, 410, 432, 713?

You can find a detailed procedure to find GCD of 160, 410, 432, 713 on our page.

3. How to find GCD of 160, 410, 432, 713 on a calculator?

You can find the GCD of 160, 410, 432, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.