GCD of 454, 314, 360, 172 Calculator

Given Input numbers are 454, 314, 360, 172

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

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 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 454, 314, 360, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 314, 360, 172 is 2.

Therefore, GCD of numbers 454, 314, 360, 172 is 2

Given Input Data is 454, 314, 360, 172

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 314 is 2 x 157

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

Prime Factorization of 172 is 2 x 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(454, 314) = 71278

GCD(454, 314) = ( 454 x 314 ) / 71278

GCD(454, 314) = 142556 / 71278

GCD(454, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 454, 314, 360, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 494, 154, 339
• GCD of 221, 167, 657, 143
• GCD of 109, 628, 228, 958
• GCD of 883, 798, 744, 559
• GCD of 273, 180, 649, 333

1. What is the GCD of 454, 314, 360, 172?

GCD of 454, 314, 360, 172 is 2

2. Where do I get the detailed procedure to find GCD of 454, 314, 360, 172?

You can find a detailed procedure to find GCD of 454, 314, 360, 172 on our page.

3. How to find GCD of 454, 314, 360, 172 on a calculator?

You can find the GCD of 454, 314, 360, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.