GCD of 172, 360, 100, 304 Calculator

Given Input numbers are 172, 360, 100, 304

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 172, 360, 100, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 360, 100, 304 is 4.

Therefore, GCD of numbers 172, 360, 100, 304 is 4

Given Input Data is 172, 360, 100, 304

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(172, 360) = 15480

GCD(172, 360) = ( 172 x 360 ) / 15480

GCD(172, 360) = 61920 / 15480

GCD(172, 360) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 100

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

LCM(4, 100) = 100

GCD(4, 100) = ( 4 x 100 ) / 100

GCD(4, 100) = 400 / 100

GCD(4, 100) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 304

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

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

GCD(4, 304) = 1216 / 304

GCD(4, 304) = 4

GCD of 172, 360, 100, 304 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 536, 668, 962
• GCD of 901, 887, 811, 510
• GCD of 585, 976, 219, 468
• GCD of 860, 265, 587, 146
• GCD of 692, 985, 491, 403

1. What is the GCD of 172, 360, 100, 304?

GCD of 172, 360, 100, 304 is 4

2. Where do I get the detailed procedure to find GCD of 172, 360, 100, 304?

You can find a detailed procedure to find GCD of 172, 360, 100, 304 on our page.

3. How to find GCD of 172, 360, 100, 304 on a calculator?

You can find the GCD of 172, 360, 100, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.