GCD of 648, 690, 15, 869 Calculator

Given Input numbers are 648, 690, 15, 869

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 648, 690, 15, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 690, 15, 869 is 1.

Therefore, GCD of numbers 648, 690, 15, 869 is 1

Given Input Data is 648, 690, 15, 869

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 690 is 2 x 3 x 5 x 23

Prime Factorization of 15 is 3 x 5

Prime Factorization of 869 is 11 x 79

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, 690) = 74520

GCD(648, 690) = ( 648 x 690 ) / 74520

GCD(648, 690) = 447120 / 74520

GCD(648, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 869

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

LCM(3, 869) = 2607

GCD(3, 869) = ( 3 x 869 ) / 2607

GCD(3, 869) = 2607 / 2607

GCD(3, 869) = 1

GCD of 648, 690, 15, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 566, 18, 372
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• GCD of 528, 124, 73, 968
• GCD of 419, 469, 73, 193
• GCD of 815, 344, 24, 980

1. What is the GCD of 648, 690, 15, 869?

GCD of 648, 690, 15, 869 is 1

2. Where do I get the detailed procedure to find GCD of 648, 690, 15, 869?

You can find a detailed procedure to find GCD of 648, 690, 15, 869 on our page.

3. How to find GCD of 648, 690, 15, 869 on a calculator?

You can find the GCD of 648, 690, 15, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.