GCD of 504, 966, 50, 148 Calculator

Given Input numbers are 504, 966, 50, 148

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 504, 966, 50, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 966, 50, 148 is 2.

Therefore, GCD of numbers 504, 966, 50, 148 is 2

Given Input Data is 504, 966, 50, 148

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 148 is 2 x 2 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(504, 966) = 11592

GCD(504, 966) = ( 504 x 966 ) / 11592

GCD(504, 966) = 486864 / 11592

GCD(504, 966) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 50

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

LCM(42, 50) = 1050

GCD(42, 50) = ( 42 x 50 ) / 1050

GCD(42, 50) = 2100 / 1050

GCD(42, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 504, 966, 50, 148 is 2

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1. What is the GCD of 504, 966, 50, 148?

GCD of 504, 966, 50, 148 is 2

2. Where do I get the detailed procedure to find GCD of 504, 966, 50, 148?

You can find a detailed procedure to find GCD of 504, 966, 50, 148 on our page.

3. How to find GCD of 504, 966, 50, 148 on a calculator?

You can find the GCD of 504, 966, 50, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.