GCD of 377, 294, 286, 106 Calculator

Given Input numbers are 377, 294, 286, 106

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

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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 377, 294, 286, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 294, 286, 106 is 1.

Therefore, GCD of numbers 377, 294, 286, 106 is 1

Given Input Data is 377, 294, 286, 106

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

Prime Factorization of 377 is 13 x 29

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 286 is 2 x 11 x 13

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(377, 294) = 110838

GCD(377, 294) = ( 377 x 294 ) / 110838

GCD(377, 294) = 110838 / 110838

GCD(377, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 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 377, 294, 286, 106 is 1

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1. What is the GCD of 377, 294, 286, 106?

GCD of 377, 294, 286, 106 is 1

2. Where do I get the detailed procedure to find GCD of 377, 294, 286, 106?

You can find a detailed procedure to find GCD of 377, 294, 286, 106 on our page.

3. How to find GCD of 377, 294, 286, 106 on a calculator?

You can find the GCD of 377, 294, 286, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.