GCD of 106, 734, 82, 118 Calculator

Given Input numbers are 106, 734, 82, 118

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 106, 734, 82, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 734, 82, 118 is 2.

Therefore, GCD of numbers 106, 734, 82, 118 is 2

Given Input Data is 106, 734, 82, 118

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 734 is 2 x 367

Prime Factorization of 82 is 2 x 41

Prime Factorization of 118 is 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(106, 734) = 38902

GCD(106, 734) = ( 106 x 734 ) / 38902

GCD(106, 734) = 77804 / 38902

GCD(106, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 106, 734, 82, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 820, 74, 270
• GCD of 570, 573, 67, 863
• GCD of 469, 548, 58, 673
• GCD of 525, 473, 67, 221
• GCD of 352, 270, 97, 724

1. What is the GCD of 106, 734, 82, 118?

GCD of 106, 734, 82, 118 is 2

2. Where do I get the detailed procedure to find GCD of 106, 734, 82, 118?

You can find a detailed procedure to find GCD of 106, 734, 82, 118 on our page.

3. How to find GCD of 106, 734, 82, 118 on a calculator?

You can find the GCD of 106, 734, 82, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.