GCD of 743, 872, 87, 342 Calculator

Given Input numbers are 743, 872, 87, 342

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 87

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

1, 3, 29, 87

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 743, 872, 87, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 872, 87, 342 is 1.

Therefore, GCD of numbers 743, 872, 87, 342 is 1

Given Input Data is 743, 872, 87, 342

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

Prime Factorization of 743 is 743

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 87 is 3 x 29

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

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(743, 872) = 647896

GCD(743, 872) = ( 743 x 872 ) / 647896

GCD(743, 872) = 647896 / 647896

GCD(743, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 743, 872, 87, 342 is 1

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• GCD of 173, 244, 27, 964
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1. What is the GCD of 743, 872, 87, 342?

GCD of 743, 872, 87, 342 is 1

2. Where do I get the detailed procedure to find GCD of 743, 872, 87, 342?

You can find a detailed procedure to find GCD of 743, 872, 87, 342 on our page.

3. How to find GCD of 743, 872, 87, 342 on a calculator?

You can find the GCD of 743, 872, 87, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.