GCD of 752, 908, 47, 964 Calculator

Given Input numbers are 752, 908, 47, 964

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 752, 908, 47, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 908, 47, 964 is 1.

Therefore, GCD of numbers 752, 908, 47, 964 is 1

Given Input Data is 752, 908, 47, 964

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 47 is 47

Prime Factorization of 964 is 2 x 2 x 241

The above numbers do not have any common prime factor. So GCD is 1

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(752, 908) = 170704

GCD(752, 908) = ( 752 x 908 ) / 170704

GCD(752, 908) = 682816 / 170704

GCD(752, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 752, 908, 47, 964 is 1

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1. What is the GCD of 752, 908, 47, 964?

GCD of 752, 908, 47, 964 is 1

2. Where do I get the detailed procedure to find GCD of 752, 908, 47, 964?

You can find a detailed procedure to find GCD of 752, 908, 47, 964 on our page.

3. How to find GCD of 752, 908, 47, 964 on a calculator?

You can find the GCD of 752, 908, 47, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.