GCD of 856, 262, 144 Calculator

Given Input numbers are 856, 262, 144

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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 856, 262, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 262, 144 is 2.

Therefore, GCD of numbers 856, 262, 144 is 2

Given Input Data is 856, 262, 144

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 262 is 2 x 131

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(856, 262) = 112136

GCD(856, 262) = ( 856 x 262 ) / 112136

GCD(856, 262) = 224272 / 112136

GCD(856, 262) = 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 856, 262, 144 is 2

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1. What is the GCD of 856, 262, 144?

GCD of 856, 262, 144 is 2

2. Where do I get the detailed procedure to find GCD of 856, 262, 144?

You can find a detailed procedure to find GCD of 856, 262, 144 on our page.

3. How to find GCD of 856, 262, 144 on a calculator?

You can find the GCD of 856, 262, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.