GCD of 706, 106, 148 Calculator

Given Input numbers are 706, 106, 148

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 106

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

1, 2, 53, 106

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 706, 106, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 106, 148 is 2.

Therefore, GCD of numbers 706, 106, 148 is 2

Given Input Data is 706, 106, 148

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 106 is 2 x 53

Prime Factorization of 148 is 2 x 2 x 37

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(706, 106) = 37418

GCD(706, 106) = ( 706 x 106 ) / 37418

GCD(706, 106) = 74836 / 37418

GCD(706, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 706, 106, 148 is 2

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1. What is the GCD of 706, 106, 148?

GCD of 706, 106, 148 is 2

2. Where do I get the detailed procedure to find GCD of 706, 106, 148?

You can find a detailed procedure to find GCD of 706, 106, 148 on our page.

3. How to find GCD of 706, 106, 148 on a calculator?

You can find the GCD of 706, 106, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.