GCD of 832, 988, 622, 914 Calculator

Given Input numbers are 832, 988, 622, 914

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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 832, 988, 622, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 988, 622, 914 is 2.

Therefore, GCD of numbers 832, 988, 622, 914 is 2

Given Input Data is 832, 988, 622, 914

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 622 is 2 x 311

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(832, 988) = 15808

GCD(832, 988) = ( 832 x 988 ) / 15808

GCD(832, 988) = 822016 / 15808

GCD(832, 988) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 622

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

LCM(52, 622) = 16172

GCD(52, 622) = ( 52 x 622 ) / 16172

GCD(52, 622) = 32344 / 16172

GCD(52, 622) = 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 832, 988, 622, 914 is 2

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1. What is the GCD of 832, 988, 622, 914?

GCD of 832, 988, 622, 914 is 2

2. Where do I get the detailed procedure to find GCD of 832, 988, 622, 914?

You can find a detailed procedure to find GCD of 832, 988, 622, 914 on our page.

3. How to find GCD of 832, 988, 622, 914 on a calculator?

You can find the GCD of 832, 988, 622, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.