GCD of 513, 269, 351, 100 Calculator

Given Input numbers are 513, 269, 351, 100

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

Divisors of 513

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

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 513, 269, 351, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 269, 351, 100 is 1.

Therefore, GCD of numbers 513, 269, 351, 100 is 1

Given Input Data is 513, 269, 351, 100

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

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

Prime Factorization of 269 is 269

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(513, 269) = 137997

GCD(513, 269) = ( 513 x 269 ) / 137997

GCD(513, 269) = 137997 / 137997

GCD(513, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 513, 269, 351, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 515, 998, 281
• GCD of 592, 382, 946, 824
• GCD of 761, 746, 325, 281
• GCD of 984, 433, 729, 348
• GCD of 778, 354, 765, 485

1. What is the GCD of 513, 269, 351, 100?

GCD of 513, 269, 351, 100 is 1

2. Where do I get the detailed procedure to find GCD of 513, 269, 351, 100?

You can find a detailed procedure to find GCD of 513, 269, 351, 100 on our page.

3. How to find GCD of 513, 269, 351, 100 on a calculator?

You can find the GCD of 513, 269, 351, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.