GCD of 976, 718, 14, 226 Calculator

Given Input numbers are 976, 718, 14, 226

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 976, 718, 14, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 718, 14, 226 is 2.

Therefore, GCD of numbers 976, 718, 14, 226 is 2

Given Input Data is 976, 718, 14, 226

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 718 is 2 x 359

Prime Factorization of 14 is 2 x 7

Prime Factorization of 226 is 2 x 113

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(976, 718) = 350384

GCD(976, 718) = ( 976 x 718 ) / 350384

GCD(976, 718) = 700768 / 350384

GCD(976, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 976, 718, 14, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 581, 98, 564
• GCD of 181, 804, 93, 498
• GCD of 384, 645, 71, 855
• GCD of 183, 349, 37, 797
• GCD of 374, 652, 61, 295

1. What is the GCD of 976, 718, 14, 226?

GCD of 976, 718, 14, 226 is 2

2. Where do I get the detailed procedure to find GCD of 976, 718, 14, 226?

You can find a detailed procedure to find GCD of 976, 718, 14, 226 on our page.

3. How to find GCD of 976, 718, 14, 226 on a calculator?

You can find the GCD of 976, 718, 14, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.