GCD of 512, 120, 103, 944 Calculator

Given Input numbers are 512, 120, 103, 944

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 512, 120, 103, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 120, 103, 944 is 1.

Therefore, GCD of numbers 512, 120, 103, 944 is 1

Given Input Data is 512, 120, 103, 944

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 103 is 103

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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, 120) = 7680

GCD(512, 120) = ( 512 x 120 ) / 7680

GCD(512, 120) = 61440 / 7680

GCD(512, 120) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 103

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

LCM(8, 103) = 824

GCD(8, 103) = ( 8 x 103 ) / 824

GCD(8, 103) = 824 / 824

GCD(8, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 512, 120, 103, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 794, 906, 607
• GCD of 351, 101, 518, 553
• GCD of 211, 637, 719, 277
• GCD of 774, 237, 913, 784
• GCD of 844, 462, 990, 953

1. What is the GCD of 512, 120, 103, 944?

GCD of 512, 120, 103, 944 is 1

2. Where do I get the detailed procedure to find GCD of 512, 120, 103, 944?

You can find a detailed procedure to find GCD of 512, 120, 103, 944 on our page.

3. How to find GCD of 512, 120, 103, 944 on a calculator?

You can find the GCD of 512, 120, 103, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.