GCD of 920, 476, 716, 908 Calculator

Given Input numbers are 920, 476, 716, 908

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 920, 476, 716, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 476, 716, 908 is 4.

Therefore, GCD of numbers 920, 476, 716, 908 is 4

Given Input Data is 920, 476, 716, 908

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 908 is 2 x 2 x 227

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(920, 476) = 109480

GCD(920, 476) = ( 920 x 476 ) / 109480

GCD(920, 476) = 437920 / 109480

GCD(920, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 716

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

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

GCD(4, 716) = 2864 / 716

GCD(4, 716) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 908

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

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

GCD(4, 908) = 3632 / 908

GCD(4, 908) = 4

GCD of 920, 476, 716, 908 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 813, 353, 333
• GCD of 998, 636, 808, 446
• GCD of 597, 369, 577, 239
• GCD of 516, 278, 853, 105
• GCD of 739, 959, 218, 423

1. What is the GCD of 920, 476, 716, 908?

GCD of 920, 476, 716, 908 is 4

2. Where do I get the detailed procedure to find GCD of 920, 476, 716, 908?

You can find a detailed procedure to find GCD of 920, 476, 716, 908 on our page.

3. How to find GCD of 920, 476, 716, 908 on a calculator?

You can find the GCD of 920, 476, 716, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.