GCD of 668, 938, 472, 914 Calculator

Given Input numbers are 668, 938, 472, 914

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 668, 938, 472, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 938, 472, 914 is 2.

Therefore, GCD of numbers 668, 938, 472, 914 is 2

Given Input Data is 668, 938, 472, 914

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(668, 938) = 313292

GCD(668, 938) = ( 668 x 938 ) / 313292

GCD(668, 938) = 626584 / 313292

GCD(668, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 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 668, 938, 472, 914 is 2

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1. What is the GCD of 668, 938, 472, 914?

GCD of 668, 938, 472, 914 is 2

2. Where do I get the detailed procedure to find GCD of 668, 938, 472, 914?

You can find a detailed procedure to find GCD of 668, 938, 472, 914 on our page.

3. How to find GCD of 668, 938, 472, 914 on a calculator?

You can find the GCD of 668, 938, 472, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.