GCD of 334, 109, 147, 106 Calculator

Given Input numbers are 334, 109, 147, 106

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 334, 109, 147, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 109, 147, 106 is 1.

Therefore, GCD of numbers 334, 109, 147, 106 is 1

Given Input Data is 334, 109, 147, 106

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 109 is 109

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 106 is 2 x 53

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(334, 109) = 36406

GCD(334, 109) = ( 334 x 109 ) / 36406

GCD(334, 109) = 36406 / 36406

GCD(334, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 334, 109, 147, 106 is 1

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1. What is the GCD of 334, 109, 147, 106?

GCD of 334, 109, 147, 106 is 1

2. Where do I get the detailed procedure to find GCD of 334, 109, 147, 106?

You can find a detailed procedure to find GCD of 334, 109, 147, 106 on our page.

3. How to find GCD of 334, 109, 147, 106 on a calculator?

You can find the GCD of 334, 109, 147, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.