GCD of 14, 128, 970, 513 Calculator

Given Input numbers are 14, 128, 970, 513

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 14, 128, 970, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 128, 970, 513 is 1.

Therefore, GCD of numbers 14, 128, 970, 513 is 1

Given Input Data is 14, 128, 970, 513

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(14, 128) = 896

GCD(14, 128) = ( 14 x 128 ) / 896

GCD(14, 128) = 1792 / 896

GCD(14, 128) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

GCD of 14, 128, 970, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 441, 224, 908
• GCD of 37, 744, 146, 829
• GCD of 79, 544, 201, 541
• GCD of 64, 796, 752, 672
• GCD of 70, 158, 102, 988

1. What is the GCD of 14, 128, 970, 513?

GCD of 14, 128, 970, 513 is 1

2. Where do I get the detailed procedure to find GCD of 14, 128, 970, 513?

You can find a detailed procedure to find GCD of 14, 128, 970, 513 on our page.

3. How to find GCD of 14, 128, 970, 513 on a calculator?

You can find the GCD of 14, 128, 970, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.