GCD of 856, 752, 290 Calculator

Given Input numbers are 856, 752, 290

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 856, 752, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 752, 290 is 2.

Therefore, GCD of numbers 856, 752, 290 is 2

Given Input Data is 856, 752, 290

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 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 290 is 2 x 5 x 29

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, 752) = 80464

GCD(856, 752) = ( 856 x 752 ) / 80464

GCD(856, 752) = 643712 / 80464

GCD(856, 752) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 290

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

LCM(8, 290) = 1160

GCD(8, 290) = ( 8 x 290 ) / 1160

GCD(8, 290) = 2320 / 1160

GCD(8, 290) = 2

GCD of 856, 752, 290 is 2

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1. What is the GCD of 856, 752, 290?

GCD of 856, 752, 290 is 2

2. Where do I get the detailed procedure to find GCD of 856, 752, 290?

You can find a detailed procedure to find GCD of 856, 752, 290 on our page.

3. How to find GCD of 856, 752, 290 on a calculator?

You can find the GCD of 856, 752, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.