GCD of 634, 338, 700, 438 Calculator

Given Input numbers are 634, 338, 700, 438

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 634, 338, 700, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 338, 700, 438 is 2.

Therefore, GCD of numbers 634, 338, 700, 438 is 2

Given Input Data is 634, 338, 700, 438

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 438 is 2 x 3 x 73

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(634, 338) = 107146

GCD(634, 338) = ( 634 x 338 ) / 107146

GCD(634, 338) = 214292 / 107146

GCD(634, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

GCD of 634, 338, 700, 438 is 2

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1. What is the GCD of 634, 338, 700, 438?

GCD of 634, 338, 700, 438 is 2

2. Where do I get the detailed procedure to find GCD of 634, 338, 700, 438?

You can find a detailed procedure to find GCD of 634, 338, 700, 438 on our page.

3. How to find GCD of 634, 338, 700, 438 on a calculator?

You can find the GCD of 634, 338, 700, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.