GCD of 946, 950, 497, 199 Calculator

Given Input numbers are 946, 950, 497, 199

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 946, 950, 497, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 950, 497, 199 is 1.

Therefore, GCD of numbers 946, 950, 497, 199 is 1

Given Input Data is 946, 950, 497, 199

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 950 is 2 x 5 x 5 x 19

Prime Factorization of 497 is 7 x 71

Prime Factorization of 199 is 199

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, 950) = 449350

GCD(946, 950) = ( 946 x 950 ) / 449350

GCD(946, 950) = 898700 / 449350

GCD(946, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 946, 950, 497, 199 is 1

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1. What is the GCD of 946, 950, 497, 199?

GCD of 946, 950, 497, 199 is 1

2. Where do I get the detailed procedure to find GCD of 946, 950, 497, 199?

You can find a detailed procedure to find GCD of 946, 950, 497, 199 on our page.

3. How to find GCD of 946, 950, 497, 199 on a calculator?

You can find the GCD of 946, 950, 497, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.