GCD of 914, 648, 807, 738 Calculator

Given Input numbers are 914, 648, 807, 738

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

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

Greatest Common Divisior

We found the divisors of 914, 648, 807, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 648, 807, 738 is 1.

Therefore, GCD of numbers 914, 648, 807, 738 is 1

Given Input Data is 914, 648, 807, 738

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

Prime Factorization of 914 is 2 x 457

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

Prime Factorization of 807 is 3 x 269

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

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(914, 648) = 296136

GCD(914, 648) = ( 914 x 648 ) / 296136

GCD(914, 648) = 592272 / 296136

GCD(914, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 914, 648, 807, 738 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 914, 648, 807, 738?

GCD of 914, 648, 807, 738 is 1

2. Where do I get the detailed procedure to find GCD of 914, 648, 807, 738?

You can find a detailed procedure to find GCD of 914, 648, 807, 738 on our page.

3. How to find GCD of 914, 648, 807, 738 on a calculator?

You can find the GCD of 914, 648, 807, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.