GCD of 343, 100, 24 Calculator

Given Input numbers are 343, 100, 24

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

Divisors of 343

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

1, 7, 49, 343

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 343, 100, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 100, 24 is 1.

Therefore, GCD of numbers 343, 100, 24 is 1

Given Input Data is 343, 100, 24

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

Prime Factorization of 343 is 7 x 7 x 7

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(343, 100) = 34300

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

GCD(343, 100) = 34300 / 34300

GCD(343, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

GCD of 343, 100, 24 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 533, 43
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• GCD of 416, 416, 67
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1. What is the GCD of 343, 100, 24?

GCD of 343, 100, 24 is 1

2. Where do I get the detailed procedure to find GCD of 343, 100, 24?

You can find a detailed procedure to find GCD of 343, 100, 24 on our page.

3. How to find GCD of 343, 100, 24 on a calculator?

You can find the GCD of 343, 100, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.