GCD of 340, 306, 71, 437 Calculator

Given Input numbers are 340, 306, 71, 437

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 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 340, 306, 71, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 306, 71, 437 is 1.

Therefore, GCD of numbers 340, 306, 71, 437 is 1

Given Input Data is 340, 306, 71, 437

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 306 is 2 x 3 x 3 x 17

Prime Factorization of 71 is 71

Prime Factorization of 437 is 19 x 23

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, 306) = 3060

GCD(340, 306) = ( 340 x 306 ) / 3060

GCD(340, 306) = 104040 / 3060

GCD(340, 306) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 71

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

LCM(34, 71) = 2414

GCD(34, 71) = ( 34 x 71 ) / 2414

GCD(34, 71) = 2414 / 2414

GCD(34, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 340, 306, 71, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 958, 86, 549
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• GCD of 902, 144, 95, 976
• GCD of 668, 156, 23, 356

1. What is the GCD of 340, 306, 71, 437?

GCD of 340, 306, 71, 437 is 1

2. Where do I get the detailed procedure to find GCD of 340, 306, 71, 437?

You can find a detailed procedure to find GCD of 340, 306, 71, 437 on our page.

3. How to find GCD of 340, 306, 71, 437 on a calculator?

You can find the GCD of 340, 306, 71, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.