GCD of 512, 966, 25, 948 Calculator

Given Input numbers are 512, 966, 25, 948

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 512, 966, 25, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 966, 25, 948 is 1.

Therefore, GCD of numbers 512, 966, 25, 948 is 1

Given Input Data is 512, 966, 25, 948

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 25 is 5 x 5

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(512, 966) = 247296

GCD(512, 966) = ( 512 x 966 ) / 247296

GCD(512, 966) = 494592 / 247296

GCD(512, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 512, 966, 25, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 499, 55, 646
• GCD of 273, 226, 29, 160
• GCD of 356, 726, 19, 971
• GCD of 771, 222, 82, 349
• GCD of 448, 191, 62, 673

1. What is the GCD of 512, 966, 25, 948?

GCD of 512, 966, 25, 948 is 1

2. Where do I get the detailed procedure to find GCD of 512, 966, 25, 948?

You can find a detailed procedure to find GCD of 512, 966, 25, 948 on our page.

3. How to find GCD of 512, 966, 25, 948 on a calculator?

You can find the GCD of 512, 966, 25, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.