GCD of 394, 632, 914, 356 Calculator

Given Input numbers are 394, 632, 914, 356

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 914

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

1, 2, 457, 914

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 394, 632, 914, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 632, 914, 356 is 2.

Therefore, GCD of numbers 394, 632, 914, 356 is 2

Given Input Data is 394, 632, 914, 356

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 914 is 2 x 457

Prime Factorization of 356 is 2 x 2 x 89

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(394, 632) = 124504

GCD(394, 632) = ( 394 x 632 ) / 124504

GCD(394, 632) = 249008 / 124504

GCD(394, 632) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 394, 632, 914, 356 is 2

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1. What is the GCD of 394, 632, 914, 356?

GCD of 394, 632, 914, 356 is 2

2. Where do I get the detailed procedure to find GCD of 394, 632, 914, 356?

You can find a detailed procedure to find GCD of 394, 632, 914, 356 on our page.

3. How to find GCD of 394, 632, 914, 356 on a calculator?

You can find the GCD of 394, 632, 914, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.