GCD of 504, 993, 941, 152 Calculator

Given Input numbers are 504, 993, 941, 152

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 504, 993, 941, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 993, 941, 152 is 1.

Therefore, GCD of numbers 504, 993, 941, 152 is 1

Given Input Data is 504, 993, 941, 152

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 993 is 3 x 331

Prime Factorization of 941 is 941

Prime Factorization of 152 is 2 x 2 x 2 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(504, 993) = 166824

GCD(504, 993) = ( 504 x 993 ) / 166824

GCD(504, 993) = 500472 / 166824

GCD(504, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 941

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

LCM(3, 941) = 2823

GCD(3, 941) = ( 3 x 941 ) / 2823

GCD(3, 941) = 2823 / 2823

GCD(3, 941) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 504, 993, 941, 152 is 1

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1. What is the GCD of 504, 993, 941, 152?

GCD of 504, 993, 941, 152 is 1

2. Where do I get the detailed procedure to find GCD of 504, 993, 941, 152?

You can find a detailed procedure to find GCD of 504, 993, 941, 152 on our page.

3. How to find GCD of 504, 993, 941, 152 on a calculator?

You can find the GCD of 504, 993, 941, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.