GCD of 504, 975, 44, 848 Calculator

Given Input numbers are 504, 975, 44, 848

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 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 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 504, 975, 44, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 975, 44, 848 is 1.

Therefore, GCD of numbers 504, 975, 44, 848 is 1

Given Input Data is 504, 975, 44, 848

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 975 is 3 x 5 x 5 x 13

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(504, 975) = 163800

GCD(504, 975) = ( 504 x 975 ) / 163800

GCD(504, 975) = 491400 / 163800

GCD(504, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 504, 975, 44, 848 is 1

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1. What is the GCD of 504, 975, 44, 848?

GCD of 504, 975, 44, 848 is 1

2. Where do I get the detailed procedure to find GCD of 504, 975, 44, 848?

You can find a detailed procedure to find GCD of 504, 975, 44, 848 on our page.

3. How to find GCD of 504, 975, 44, 848 on a calculator?

You can find the GCD of 504, 975, 44, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.