GCD of 114, 292, 338, 513 Calculator

Given Input numbers are 114, 292, 338, 513

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 114, 292, 338, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 292, 338, 513 is 1.

Therefore, GCD of numbers 114, 292, 338, 513 is 1

Given Input Data is 114, 292, 338, 513

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 338 is 2 x 13 x 13

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(114, 292) = 16644

GCD(114, 292) = ( 114 x 292 ) / 16644

GCD(114, 292) = 33288 / 16644

GCD(114, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 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 114, 292, 338, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 890, 436, 536
• GCD of 832, 488, 605, 136
• GCD of 306, 123, 945, 725
• GCD of 399, 521, 846, 144
• GCD of 754, 921, 676, 285

1. What is the GCD of 114, 292, 338, 513?

GCD of 114, 292, 338, 513 is 1

2. Where do I get the detailed procedure to find GCD of 114, 292, 338, 513?

You can find a detailed procedure to find GCD of 114, 292, 338, 513 on our page.

3. How to find GCD of 114, 292, 338, 513 on a calculator?

You can find the GCD of 114, 292, 338, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.