GCD of 144, 148, 76, 170 Calculator

Given Input numbers are 144, 148, 76, 170

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 170

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

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

Greatest Common Divisior

We found the divisors of 144, 148, 76, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 148, 76, 170 is 2.

Therefore, GCD of numbers 144, 148, 76, 170 is 2

Given Input Data is 144, 148, 76, 170

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 170 is 2 x 5 x 17

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(144, 148) = 5328

GCD(144, 148) = ( 144 x 148 ) / 5328

GCD(144, 148) = 21312 / 5328

GCD(144, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 170

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

LCM(4, 170) = 340

GCD(4, 170) = ( 4 x 170 ) / 340

GCD(4, 170) = 680 / 340

GCD(4, 170) = 2

GCD of 144, 148, 76, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 354, 96, 612
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• GCD of 193, 308, 97, 694
• GCD of 749, 864, 28, 239
• GCD of 727, 400, 60, 684

1. What is the GCD of 144, 148, 76, 170?

GCD of 144, 148, 76, 170 is 2

2. Where do I get the detailed procedure to find GCD of 144, 148, 76, 170?

You can find a detailed procedure to find GCD of 144, 148, 76, 170 on our page.

3. How to find GCD of 144, 148, 76, 170 on a calculator?

You can find the GCD of 144, 148, 76, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.