GCD of 105, 435, 172, 320 Calculator

Given Input numbers are 105, 435, 172, 320

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 105, 435, 172, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 435, 172, 320 is 1.

Therefore, GCD of numbers 105, 435, 172, 320 is 1

Given Input Data is 105, 435, 172, 320

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(105, 435) = 3045

GCD(105, 435) = ( 105 x 435 ) / 3045

GCD(105, 435) = 45675 / 3045

GCD(105, 435) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 172

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

LCM(15, 172) = 2580

GCD(15, 172) = ( 15 x 172 ) / 2580

GCD(15, 172) = 2580 / 2580

GCD(15, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 105, 435, 172, 320 is 1

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1. What is the GCD of 105, 435, 172, 320?

GCD of 105, 435, 172, 320 is 1

2. Where do I get the detailed procedure to find GCD of 105, 435, 172, 320?

You can find a detailed procedure to find GCD of 105, 435, 172, 320 on our page.

3. How to find GCD of 105, 435, 172, 320 on a calculator?

You can find the GCD of 105, 435, 172, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.