GCD of 648, 802, 97, 749 Calculator

Given Input numbers are 648, 802, 97, 749

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 648, 802, 97, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 802, 97, 749 is 1.

Therefore, GCD of numbers 648, 802, 97, 749 is 1

Given Input Data is 648, 802, 97, 749

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 802 is 2 x 401

Prime Factorization of 97 is 97

Prime Factorization of 749 is 7 x 107

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(648, 802) = 259848

GCD(648, 802) = ( 648 x 802 ) / 259848

GCD(648, 802) = 519696 / 259848

GCD(648, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 648, 802, 97, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 279, 31, 806
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• GCD of 737, 691, 37, 384
• GCD of 350, 755, 41, 595

1. What is the GCD of 648, 802, 97, 749?

GCD of 648, 802, 97, 749 is 1

2. Where do I get the detailed procedure to find GCD of 648, 802, 97, 749?

You can find a detailed procedure to find GCD of 648, 802, 97, 749 on our page.

3. How to find GCD of 648, 802, 97, 749 on a calculator?

You can find the GCD of 648, 802, 97, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.