GCD of 54, 616, 807, 725 Calculator

Given Input numbers are 54, 616, 807, 725

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 807

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

1, 3, 269, 807

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 54, 616, 807, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 616, 807, 725 is 1.

Therefore, GCD of numbers 54, 616, 807, 725 is 1

Given Input Data is 54, 616, 807, 725

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 807 is 3 x 269

Prime Factorization of 725 is 5 x 5 x 29

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(54, 616) = 16632

GCD(54, 616) = ( 54 x 616 ) / 16632

GCD(54, 616) = 33264 / 16632

GCD(54, 616) = 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 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 54, 616, 807, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 306, 705, 419
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• GCD of 19, 563, 635, 659

1. What is the GCD of 54, 616, 807, 725?

GCD of 54, 616, 807, 725 is 1

2. Where do I get the detailed procedure to find GCD of 54, 616, 807, 725?

You can find a detailed procedure to find GCD of 54, 616, 807, 725 on our page.

3. How to find GCD of 54, 616, 807, 725 on a calculator?

You can find the GCD of 54, 616, 807, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.