GCD of 357, 102, 24, 318 Calculator

Given Input numbers are 357, 102, 24, 318

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 24

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

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 357, 102, 24, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 102, 24, 318 is 3.

Therefore, GCD of numbers 357, 102, 24, 318 is 3

Given Input Data is 357, 102, 24, 318

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 102 is 2 x 3 x 17

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

Prime Factorization of 318 is 2 x 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(357, 102) = 714

GCD(357, 102) = ( 357 x 102 ) / 714

GCD(357, 102) = 36414 / 714

GCD(357, 102) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 24

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

LCM(51, 24) = 408

GCD(51, 24) = ( 51 x 24 ) / 408

GCD(51, 24) = 1224 / 408

GCD(51, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 318

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

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

GCD(3, 318) = 954 / 318

GCD(3, 318) = 3

GCD of 357, 102, 24, 318 is 3

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• GCD of 672, 823, 84, 142
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1. What is the GCD of 357, 102, 24, 318?

GCD of 357, 102, 24, 318 is 3

2. Where do I get the detailed procedure to find GCD of 357, 102, 24, 318?

You can find a detailed procedure to find GCD of 357, 102, 24, 318 on our page.

3. How to find GCD of 357, 102, 24, 318 on a calculator?

You can find the GCD of 357, 102, 24, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.