GCD of 705, 207, 24, 342 Calculator

Given Input numbers are 705, 207, 24, 342

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 705, 207, 24, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 207, 24, 342 is 3.

Therefore, GCD of numbers 705, 207, 24, 342 is 3

Given Input Data is 705, 207, 24, 342

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 207 is 3 x 3 x 23

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(705, 207) = 48645

GCD(705, 207) = ( 705 x 207 ) / 48645

GCD(705, 207) = 145935 / 48645

GCD(705, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 342

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

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

GCD(3, 342) = 1026 / 342

GCD(3, 342) = 3

GCD of 705, 207, 24, 342 is 3

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• GCD of 328, 742, 50, 673
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1. What is the GCD of 705, 207, 24, 342?

GCD of 705, 207, 24, 342 is 3

2. Where do I get the detailed procedure to find GCD of 705, 207, 24, 342?

You can find a detailed procedure to find GCD of 705, 207, 24, 342 on our page.

3. How to find GCD of 705, 207, 24, 342 on a calculator?

You can find the GCD of 705, 207, 24, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.