GCD of 340, 135, 91, 614 Calculator

Given Input numbers are 340, 135, 91, 614

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 340, 135, 91, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 135, 91, 614 is 1.

Therefore, GCD of numbers 340, 135, 91, 614 is 1

Given Input Data is 340, 135, 91, 614

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 91 is 7 x 13

Prime Factorization of 614 is 2 x 307

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, 135) = 9180

GCD(340, 135) = ( 340 x 135 ) / 9180

GCD(340, 135) = 45900 / 9180

GCD(340, 135) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 91

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

LCM(5, 91) = 455

GCD(5, 91) = ( 5 x 91 ) / 455

GCD(5, 91) = 455 / 455

GCD(5, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 340, 135, 91, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 447, 15, 269
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• GCD of 577, 556, 36, 346

1. What is the GCD of 340, 135, 91, 614?

GCD of 340, 135, 91, 614 is 1

2. Where do I get the detailed procedure to find GCD of 340, 135, 91, 614?

You can find a detailed procedure to find GCD of 340, 135, 91, 614 on our page.

3. How to find GCD of 340, 135, 91, 614 on a calculator?

You can find the GCD of 340, 135, 91, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.