GCD of 753, 294, 45, 643 Calculator

Given Input numbers are 753, 294, 45, 643

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 753, 294, 45, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 294, 45, 643 is 1.

Therefore, GCD of numbers 753, 294, 45, 643 is 1

Given Input Data is 753, 294, 45, 643

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 643 is 643

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, 294) = 73794

GCD(753, 294) = ( 753 x 294 ) / 73794

GCD(753, 294) = 221382 / 73794

GCD(753, 294) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 643

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

LCM(3, 643) = 1929

GCD(3, 643) = ( 3 x 643 ) / 1929

GCD(3, 643) = 1929 / 1929

GCD(3, 643) = 1

GCD of 753, 294, 45, 643 is 1

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1. What is the GCD of 753, 294, 45, 643?

GCD of 753, 294, 45, 643 is 1

2. Where do I get the detailed procedure to find GCD of 753, 294, 45, 643?

You can find a detailed procedure to find GCD of 753, 294, 45, 643 on our page.

3. How to find GCD of 753, 294, 45, 643 on a calculator?

You can find the GCD of 753, 294, 45, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.