GCD of 747, 435, 40, 342 Calculator

Given Input numbers are 747, 435, 40, 342

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 747, 435, 40, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 435, 40, 342 is 1.

Therefore, GCD of numbers 747, 435, 40, 342 is 1

Given Input Data is 747, 435, 40, 342

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(747, 435) = 108315

GCD(747, 435) = ( 747 x 435 ) / 108315

GCD(747, 435) = 324945 / 108315

GCD(747, 435) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 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 747, 435, 40, 342 is 1

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• GCD of 258, 517, 92, 194
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1. What is the GCD of 747, 435, 40, 342?

GCD of 747, 435, 40, 342 is 1

2. Where do I get the detailed procedure to find GCD of 747, 435, 40, 342?

You can find a detailed procedure to find GCD of 747, 435, 40, 342 on our page.

3. How to find GCD of 747, 435, 40, 342 on a calculator?

You can find the GCD of 747, 435, 40, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.