GCD of 340, 712, 409, 942 Calculator

Given Input numbers are 340, 712, 409, 942

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 340, 712, 409, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 712, 409, 942 is 1.

Therefore, GCD of numbers 340, 712, 409, 942 is 1

Given Input Data is 340, 712, 409, 942

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 409 is 409

Prime Factorization of 942 is 2 x 3 x 157

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(340, 712) = 60520

GCD(340, 712) = ( 340 x 712 ) / 60520

GCD(340, 712) = 242080 / 60520

GCD(340, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 409

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

LCM(4, 409) = 1636

GCD(4, 409) = ( 4 x 409 ) / 1636

GCD(4, 409) = 1636 / 1636

GCD(4, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 340, 712, 409, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 586, 186, 197
• GCD of 326, 440, 188, 845
• GCD of 497, 791, 616, 237
• GCD of 731, 726, 324, 787
• GCD of 678, 429, 988, 732

1. What is the GCD of 340, 712, 409, 942?

GCD of 340, 712, 409, 942 is 1

2. Where do I get the detailed procedure to find GCD of 340, 712, 409, 942?

You can find a detailed procedure to find GCD of 340, 712, 409, 942 on our page.

3. How to find GCD of 340, 712, 409, 942 on a calculator?

You can find the GCD of 340, 712, 409, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.