GCD of 170, 448, 972 Calculator

Given Input numbers are 170, 448, 972

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 170, 448, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 448, 972 is 2.

Therefore, GCD of numbers 170, 448, 972 is 2

Given Input Data is 170, 448, 972

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(170, 448) = 38080

GCD(170, 448) = ( 170 x 448 ) / 38080

GCD(170, 448) = 76160 / 38080

GCD(170, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

GCD of 170, 448, 972 is 2

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1. What is the GCD of 170, 448, 972?

GCD of 170, 448, 972 is 2

2. Where do I get the detailed procedure to find GCD of 170, 448, 972?

You can find a detailed procedure to find GCD of 170, 448, 972 on our page.

3. How to find GCD of 170, 448, 972 on a calculator?

You can find the GCD of 170, 448, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.