GCD of 369, 837, 114, 341 Calculator

Given Input numbers are 369, 837, 114, 341

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 369, 837, 114, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 837, 114, 341 is 1.

Therefore, GCD of numbers 369, 837, 114, 341 is 1

Given Input Data is 369, 837, 114, 341

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 341 is 11 x 31

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(369, 837) = 34317

GCD(369, 837) = ( 369 x 837 ) / 34317

GCD(369, 837) = 308853 / 34317

GCD(369, 837) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 114

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

LCM(9, 114) = 342

GCD(9, 114) = ( 9 x 114 ) / 342

GCD(9, 114) = 1026 / 342

GCD(9, 114) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 341

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

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

GCD(3, 341) = 1023 / 1023

GCD(3, 341) = 1

GCD of 369, 837, 114, 341 is 1

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1. What is the GCD of 369, 837, 114, 341?

GCD of 369, 837, 114, 341 is 1

2. Where do I get the detailed procedure to find GCD of 369, 837, 114, 341?

You can find a detailed procedure to find GCD of 369, 837, 114, 341 on our page.

3. How to find GCD of 369, 837, 114, 341 on a calculator?

You can find the GCD of 369, 837, 114, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.