GCD of 868, 120, 914 Calculator

Given Input numbers are 868, 120, 914

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 868, 120, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 120, 914 is 2.

Therefore, GCD of numbers 868, 120, 914 is 2

Given Input Data is 868, 120, 914

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 914 is 2 x 457

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(868, 120) = 26040

GCD(868, 120) = ( 868 x 120 ) / 26040

GCD(868, 120) = 104160 / 26040

GCD(868, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 914

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

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

GCD(4, 914) = 3656 / 1828

GCD(4, 914) = 2

GCD of 868, 120, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 356, 673
• GCD of 424, 419, 863
• GCD of 168, 784, 527
• GCD of 871, 661, 780
• GCD of 860, 617, 688

1. What is the GCD of 868, 120, 914?

GCD of 868, 120, 914 is 2

2. Where do I get the detailed procedure to find GCD of 868, 120, 914?

You can find a detailed procedure to find GCD of 868, 120, 914 on our page.

3. How to find GCD of 868, 120, 914 on a calculator?

You can find the GCD of 868, 120, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.