GCD of 109, 346, 941, 412 Calculator

Given Input numbers are 109, 346, 941, 412

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

Divisors of 109

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

1, 109

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 109, 346, 941, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 346, 941, 412 is 1.

Therefore, GCD of numbers 109, 346, 941, 412 is 1

Given Input Data is 109, 346, 941, 412

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

Prime Factorization of 109 is 109

Prime Factorization of 346 is 2 x 173

Prime Factorization of 941 is 941

Prime Factorization of 412 is 2 x 2 x 103

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(109, 346) = 37714

GCD(109, 346) = ( 109 x 346 ) / 37714

GCD(109, 346) = 37714 / 37714

GCD(109, 346) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 109, 346, 941, 412 is 1

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• GCD of 878, 854, 761, 112
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1. What is the GCD of 109, 346, 941, 412?

GCD of 109, 346, 941, 412 is 1

2. Where do I get the detailed procedure to find GCD of 109, 346, 941, 412?

You can find a detailed procedure to find GCD of 109, 346, 941, 412 on our page.

3. How to find GCD of 109, 346, 941, 412 on a calculator?

You can find the GCD of 109, 346, 941, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.