GCD of 392, 142, 76, 337 Calculator

Given Input numbers are 392, 142, 76, 337

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Greatest Common Divisior

We found the divisors of 392, 142, 76, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 142, 76, 337 is 1.

Therefore, GCD of numbers 392, 142, 76, 337 is 1

Given Input Data is 392, 142, 76, 337

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 142 is 2 x 71

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 337 is 337

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(392, 142) = 27832

GCD(392, 142) = ( 392 x 142 ) / 27832

GCD(392, 142) = 55664 / 27832

GCD(392, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 337

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

LCM(2, 337) = 674

GCD(2, 337) = ( 2 x 337 ) / 674

GCD(2, 337) = 674 / 674

GCD(2, 337) = 1

GCD of 392, 142, 76, 337 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 467, 96, 258
• GCD of 968, 392, 53, 870
• GCD of 434, 466, 51, 631
• GCD of 769, 765, 50, 715
• GCD of 521, 378, 72, 551

1. What is the GCD of 392, 142, 76, 337?

GCD of 392, 142, 76, 337 is 1

2. Where do I get the detailed procedure to find GCD of 392, 142, 76, 337?

You can find a detailed procedure to find GCD of 392, 142, 76, 337 on our page.

3. How to find GCD of 392, 142, 76, 337 on a calculator?

You can find the GCD of 392, 142, 76, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.