GCD of 753, 738, 245, 617 Calculator

Given Input numbers are 753, 738, 245, 617

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 753, 738, 245, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 738, 245, 617 is 1.

Therefore, GCD of numbers 753, 738, 245, 617 is 1

Given Input Data is 753, 738, 245, 617

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 617 is 617

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, 738) = 185238

GCD(753, 738) = ( 753 x 738 ) / 185238

GCD(753, 738) = 555714 / 185238

GCD(753, 738) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 245

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

LCM(3, 245) = 735

GCD(3, 245) = ( 3 x 245 ) / 735

GCD(3, 245) = 735 / 735

GCD(3, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 753, 738, 245, 617 is 1

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1. What is the GCD of 753, 738, 245, 617?

GCD of 753, 738, 245, 617 is 1

2. Where do I get the detailed procedure to find GCD of 753, 738, 245, 617?

You can find a detailed procedure to find GCD of 753, 738, 245, 617 on our page.

3. How to find GCD of 753, 738, 245, 617 on a calculator?

You can find the GCD of 753, 738, 245, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.