GCD of 645, 749, 543, 496 Calculator

Given Input numbers are 645, 749, 543, 496

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 645, 749, 543, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 749, 543, 496 is 1.

Therefore, GCD of numbers 645, 749, 543, 496 is 1

Given Input Data is 645, 749, 543, 496

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 749 is 7 x 107

Prime Factorization of 543 is 3 x 181

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(645, 749) = 483105

GCD(645, 749) = ( 645 x 749 ) / 483105

GCD(645, 749) = 483105 / 483105

GCD(645, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 645, 749, 543, 496 is 1

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1. What is the GCD of 645, 749, 543, 496?

GCD of 645, 749, 543, 496 is 1

2. Where do I get the detailed procedure to find GCD of 645, 749, 543, 496?

You can find a detailed procedure to find GCD of 645, 749, 543, 496 on our page.

3. How to find GCD of 645, 749, 543, 496 on a calculator?

You can find the GCD of 645, 749, 543, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.