GCD of 753, 429, 56, 342 Calculator

Given Input numbers are 753, 429, 56, 342

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 753, 429, 56, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 429, 56, 342 is 1.

Therefore, GCD of numbers 753, 429, 56, 342 is 1

Given Input Data is 753, 429, 56, 342

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(753, 429) = 107679

GCD(753, 429) = ( 753 x 429 ) / 107679

GCD(753, 429) = 323037 / 107679

GCD(753, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 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 753, 429, 56, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 707, 78, 445
• GCD of 420, 569, 54, 998
• GCD of 473, 452, 99, 275
• GCD of 904, 707, 87, 625
• GCD of 416, 555, 73, 825

1. What is the GCD of 753, 429, 56, 342?

GCD of 753, 429, 56, 342 is 1

2. Where do I get the detailed procedure to find GCD of 753, 429, 56, 342?

You can find a detailed procedure to find GCD of 753, 429, 56, 342 on our page.

3. How to find GCD of 753, 429, 56, 342 on a calculator?

You can find the GCD of 753, 429, 56, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.