GCD of 342, 444, 87, 709 Calculator

Given Input numbers are 342, 444, 87, 709

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

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 342, 444, 87, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 444, 87, 709 is 1.

Therefore, GCD of numbers 342, 444, 87, 709 is 1

Given Input Data is 342, 444, 87, 709

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

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 87 is 3 x 29

Prime Factorization of 709 is 709

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(342, 444) = 25308

GCD(342, 444) = ( 342 x 444 ) / 25308

GCD(342, 444) = 151848 / 25308

GCD(342, 444) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 87

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

LCM(6, 87) = 174

GCD(6, 87) = ( 6 x 87 ) / 174

GCD(6, 87) = 522 / 174

GCD(6, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 709

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

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

GCD(3, 709) = 2127 / 2127

GCD(3, 709) = 1

GCD of 342, 444, 87, 709 is 1

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• GCD of 408, 136, 62, 868
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• GCD of 324, 707, 25, 984

1. What is the GCD of 342, 444, 87, 709?

GCD of 342, 444, 87, 709 is 1

2. Where do I get the detailed procedure to find GCD of 342, 444, 87, 709?

You can find a detailed procedure to find GCD of 342, 444, 87, 709 on our page.

3. How to find GCD of 342, 444, 87, 709 on a calculator?

You can find the GCD of 342, 444, 87, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.