GCD of 946, 305, 846, 418 Calculator

Given Input numbers are 946, 305, 846, 418

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 946, 305, 846, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 305, 846, 418 is 1.

Therefore, GCD of numbers 946, 305, 846, 418 is 1

Given Input Data is 946, 305, 846, 418

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 305 is 5 x 61

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

Prime Factorization of 418 is 2 x 11 x 19

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(946, 305) = 288530

GCD(946, 305) = ( 946 x 305 ) / 288530

GCD(946, 305) = 288530 / 288530

GCD(946, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 946, 305, 846, 418 is 1

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1. What is the GCD of 946, 305, 846, 418?

GCD of 946, 305, 846, 418 is 1

2. Where do I get the detailed procedure to find GCD of 946, 305, 846, 418?

You can find a detailed procedure to find GCD of 946, 305, 846, 418 on our page.

3. How to find GCD of 946, 305, 846, 418 on a calculator?

You can find the GCD of 946, 305, 846, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.