GCD of 708, 864, 38, 952 Calculator

Given Input numbers are 708, 864, 38, 952

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 38

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

1, 2, 19, 38

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 708, 864, 38, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 864, 38, 952 is 2.

Therefore, GCD of numbers 708, 864, 38, 952 is 2

Given Input Data is 708, 864, 38, 952

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 38 is 2 x 19

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(708, 864) = 50976

GCD(708, 864) = ( 708 x 864 ) / 50976

GCD(708, 864) = 611712 / 50976

GCD(708, 864) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 38

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

LCM(12, 38) = 228

GCD(12, 38) = ( 12 x 38 ) / 228

GCD(12, 38) = 456 / 228

GCD(12, 38) = 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 708, 864, 38, 952 is 2

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• GCD of 356, 284, 75, 971

1. What is the GCD of 708, 864, 38, 952?

GCD of 708, 864, 38, 952 is 2

2. Where do I get the detailed procedure to find GCD of 708, 864, 38, 952?

You can find a detailed procedure to find GCD of 708, 864, 38, 952 on our page.

3. How to find GCD of 708, 864, 38, 952 on a calculator?

You can find the GCD of 708, 864, 38, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.