GCD of 914, 648, 56, 731 Calculator

Given Input numbers are 914, 648, 56, 731

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 914, 648, 56, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 648, 56, 731 is 1.

Therefore, GCD of numbers 914, 648, 56, 731 is 1

Given Input Data is 914, 648, 56, 731

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 56 is 2 x 2 x 2 x 7

Prime Factorization of 731 is 17 x 43

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 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

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

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

GCD of 914, 648, 56, 731 is 1

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• GCD of 135, 772, 92, 553
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• GCD of 550, 167, 42, 914

1. What is the GCD of 914, 648, 56, 731?

GCD of 914, 648, 56, 731 is 1

2. Where do I get the detailed procedure to find GCD of 914, 648, 56, 731?

You can find a detailed procedure to find GCD of 914, 648, 56, 731 on our page.

3. How to find GCD of 914, 648, 56, 731 on a calculator?

You can find the GCD of 914, 648, 56, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.