GCD of 753, 752, 40, 993 Calculator

Given Input numbers are 753, 752, 40, 993

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 993

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

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 753, 752, 40, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 752, 40, 993 is 1.

Therefore, GCD of numbers 753, 752, 40, 993 is 1

Given Input Data is 753, 752, 40, 993

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 993 is 3 x 331

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(753, 752) = 566256

GCD(753, 752) = ( 753 x 752 ) / 566256

GCD(753, 752) = 566256 / 566256

GCD(753, 752) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 753, 752, 40, 993 is 1

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1. What is the GCD of 753, 752, 40, 993?

GCD of 753, 752, 40, 993 is 1

2. Where do I get the detailed procedure to find GCD of 753, 752, 40, 993?

You can find a detailed procedure to find GCD of 753, 752, 40, 993 on our page.

3. How to find GCD of 753, 752, 40, 993 on a calculator?

You can find the GCD of 753, 752, 40, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.