GCD of 838, 914, 47, 672 Calculator

Given Input numbers are 838, 914, 47, 672

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 914

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

1, 2, 457, 914

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 838, 914, 47, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 914, 47, 672 is 1.

Therefore, GCD of numbers 838, 914, 47, 672 is 1

Given Input Data is 838, 914, 47, 672

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 914 is 2 x 457

Prime Factorization of 47 is 47

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(838, 914) = 382966

GCD(838, 914) = ( 838 x 914 ) / 382966

GCD(838, 914) = 765932 / 382966

GCD(838, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 838, 914, 47, 672 is 1

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• GCD of 813, 650, 20, 941

1. What is the GCD of 838, 914, 47, 672?

GCD of 838, 914, 47, 672 is 1

2. Where do I get the detailed procedure to find GCD of 838, 914, 47, 672?

You can find a detailed procedure to find GCD of 838, 914, 47, 672 on our page.

3. How to find GCD of 838, 914, 47, 672 on a calculator?

You can find the GCD of 838, 914, 47, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.