GCD of 874, 292, 144 Calculator

Given Input numbers are 874, 292, 144

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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

Greatest Common Divisior

We found the divisors of 874, 292, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 292, 144 is 2.

Therefore, GCD of numbers 874, 292, 144 is 2

Given Input Data is 874, 292, 144

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 144 is 2 x 2 x 2 x 2 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(874, 292) = 127604

GCD(874, 292) = ( 874 x 292 ) / 127604

GCD(874, 292) = 255208 / 127604

GCD(874, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 874, 292, 144 is 2

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1. What is the GCD of 874, 292, 144?

GCD of 874, 292, 144 is 2

2. Where do I get the detailed procedure to find GCD of 874, 292, 144?

You can find a detailed procedure to find GCD of 874, 292, 144 on our page.

3. How to find GCD of 874, 292, 144 on a calculator?

You can find the GCD of 874, 292, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.