GCD of 100, 343, 381 Calculator

Given Input numbers are 100, 343, 381

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

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 100, 343, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 343, 381 is 1.

Therefore, GCD of numbers 100, 343, 381 is 1

Given Input Data is 100, 343, 381

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

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 381 is 3 x 127

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(100, 343) = 34300

GCD(100, 343) = ( 100 x 343 ) / 34300

GCD(100, 343) = 34300 / 34300

GCD(100, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 100, 343, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 982, 875
• GCD of 157, 395, 223
• GCD of 596, 589, 625
• GCD of 627, 938, 457
• GCD of 897, 767, 950

1. What is the GCD of 100, 343, 381?

GCD of 100, 343, 381 is 1

2. Where do I get the detailed procedure to find GCD of 100, 343, 381?

You can find a detailed procedure to find GCD of 100, 343, 381 on our page.

3. How to find GCD of 100, 343, 381 on a calculator?

You can find the GCD of 100, 343, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.