GCD of 34, 320, 727, 118 Calculator

Given Input numbers are 34, 320, 727, 118

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 34, 320, 727, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 320, 727, 118 is 1.

Therefore, GCD of numbers 34, 320, 727, 118 is 1

Given Input Data is 34, 320, 727, 118

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 727 is 727

Prime Factorization of 118 is 2 x 59

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(34, 320) = 5440

GCD(34, 320) = ( 34 x 320 ) / 5440

GCD(34, 320) = 10880 / 5440

GCD(34, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 727

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

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

GCD(2, 727) = 1454 / 1454

GCD(2, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 34, 320, 727, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 913, 497, 782
• GCD of 58, 113, 498, 631
• GCD of 11, 970, 100, 930
• GCD of 52, 593, 592, 491
• GCD of 43, 463, 247, 684

1. What is the GCD of 34, 320, 727, 118?

GCD of 34, 320, 727, 118 is 1

2. Where do I get the detailed procedure to find GCD of 34, 320, 727, 118?

You can find a detailed procedure to find GCD of 34, 320, 727, 118 on our page.

3. How to find GCD of 34, 320, 727, 118 on a calculator?

You can find the GCD of 34, 320, 727, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.