GCD of 340, 940, 416, 327 Calculator

Given Input numbers are 340, 940, 416, 327

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 340, 940, 416, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 940, 416, 327 is 1.

Therefore, GCD of numbers 340, 940, 416, 327 is 1

Given Input Data is 340, 940, 416, 327

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 940 is 2 x 2 x 5 x 47

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 327 is 3 x 109

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, 940) = 15980

GCD(340, 940) = ( 340 x 940 ) / 15980

GCD(340, 940) = 319600 / 15980

GCD(340, 940) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 416

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

LCM(20, 416) = 2080

GCD(20, 416) = ( 20 x 416 ) / 2080

GCD(20, 416) = 8320 / 2080

GCD(20, 416) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 327

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

LCM(4, 327) = 1308

GCD(4, 327) = ( 4 x 327 ) / 1308

GCD(4, 327) = 1308 / 1308

GCD(4, 327) = 1

GCD of 340, 940, 416, 327 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 312, 411, 398
• GCD of 243, 220, 726, 180
• GCD of 220, 227, 457, 983
• GCD of 299, 982, 990, 862
• GCD of 342, 770, 881, 226

1. What is the GCD of 340, 940, 416, 327?

GCD of 340, 940, 416, 327 is 1

2. Where do I get the detailed procedure to find GCD of 340, 940, 416, 327?

You can find a detailed procedure to find GCD of 340, 940, 416, 327 on our page.

3. How to find GCD of 340, 940, 416, 327 on a calculator?

You can find the GCD of 340, 940, 416, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.