GCD of 846, 705, 380, 391 Calculator

Given Input numbers are 846, 705, 380, 391

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 846, 705, 380, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 705, 380, 391 is 1.

Therefore, GCD of numbers 846, 705, 380, 391 is 1

Given Input Data is 846, 705, 380, 391

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 391 is 17 x 23

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(846, 705) = 4230

GCD(846, 705) = ( 846 x 705 ) / 4230

GCD(846, 705) = 596430 / 4230

GCD(846, 705) = 141

Step2:

Here we consider the GCD from the above i.e. 141 as first number and the next as 380

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

LCM(141, 380) = 53580

GCD(141, 380) = ( 141 x 380 ) / 53580

GCD(141, 380) = 53580 / 53580

GCD(141, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 846, 705, 380, 391 is 1

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1. What is the GCD of 846, 705, 380, 391?

GCD of 846, 705, 380, 391 is 1

2. Where do I get the detailed procedure to find GCD of 846, 705, 380, 391?

You can find a detailed procedure to find GCD of 846, 705, 380, 391 on our page.

3. How to find GCD of 846, 705, 380, 391 on a calculator?

You can find the GCD of 846, 705, 380, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.