GCD of 418, 476, 752, 914 Calculator

Given Input numbers are 418, 476, 752, 914

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 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 418, 476, 752, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 476, 752, 914 is 2.

Therefore, GCD of numbers 418, 476, 752, 914 is 2

Given Input Data is 418, 476, 752, 914

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(418, 476) = 99484

GCD(418, 476) = ( 418 x 476 ) / 99484

GCD(418, 476) = 198968 / 99484

GCD(418, 476) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

GCD of 418, 476, 752, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 669, 520, 960
• GCD of 388, 434, 686, 296
• GCD of 638, 468, 282, 817
• GCD of 751, 412, 891, 986
• GCD of 211, 918, 328, 105

1. What is the GCD of 418, 476, 752, 914?

GCD of 418, 476, 752, 914 is 2

2. Where do I get the detailed procedure to find GCD of 418, 476, 752, 914?

You can find a detailed procedure to find GCD of 418, 476, 752, 914 on our page.

3. How to find GCD of 418, 476, 752, 914 on a calculator?

You can find the GCD of 418, 476, 752, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.