GCD of 38, 616, 644, 952 Calculator

Given Input numbers are 38, 616, 644, 952

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 38, 616, 644, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 616, 644, 952 is 2.

Therefore, GCD of numbers 38, 616, 644, 952 is 2

Given Input Data is 38, 616, 644, 952

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(38, 616) = 11704

GCD(38, 616) = ( 38 x 616 ) / 11704

GCD(38, 616) = 23408 / 11704

GCD(38, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

GCD of 38, 616, 644, 952 is 2

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• GCD of 37, 578, 924, 332
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1. What is the GCD of 38, 616, 644, 952?

GCD of 38, 616, 644, 952 is 2

2. Where do I get the detailed procedure to find GCD of 38, 616, 644, 952?

You can find a detailed procedure to find GCD of 38, 616, 644, 952 on our page.

3. How to find GCD of 38, 616, 644, 952 on a calculator?

You can find the GCD of 38, 616, 644, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.