GCD of 318, 975, 50, 946 Calculator

Given Input numbers are 318, 975, 50, 946

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 946

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

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

Greatest Common Divisior

We found the divisors of 318, 975, 50, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 975, 50, 946 is 1.

Therefore, GCD of numbers 318, 975, 50, 946 is 1

Given Input Data is 318, 975, 50, 946

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 946 is 2 x 11 x 43

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(318, 975) = 103350

GCD(318, 975) = ( 318 x 975 ) / 103350

GCD(318, 975) = 310050 / 103350

GCD(318, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 318, 975, 50, 946 is 1

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1. What is the GCD of 318, 975, 50, 946?

GCD of 318, 975, 50, 946 is 1

2. Where do I get the detailed procedure to find GCD of 318, 975, 50, 946?

You can find a detailed procedure to find GCD of 318, 975, 50, 946 on our page.

3. How to find GCD of 318, 975, 50, 946 on a calculator?

You can find the GCD of 318, 975, 50, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.