GCD of 88, 726, 680, 447 Calculator

Given Input numbers are 88, 726, 680, 447

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 88, 726, 680, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 726, 680, 447 is 1.

Therefore, GCD of numbers 88, 726, 680, 447 is 1

Given Input Data is 88, 726, 680, 447

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 447 is 3 x 149

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(88, 726) = 2904

GCD(88, 726) = ( 88 x 726 ) / 2904

GCD(88, 726) = 63888 / 2904

GCD(88, 726) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 680

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

LCM(22, 680) = 7480

GCD(22, 680) = ( 22 x 680 ) / 7480

GCD(22, 680) = 14960 / 7480

GCD(22, 680) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 447

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

LCM(2, 447) = 894

GCD(2, 447) = ( 2 x 447 ) / 894

GCD(2, 447) = 894 / 894

GCD(2, 447) = 1

GCD of 88, 726, 680, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 587, 792, 610
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• GCD of 50, 483, 536, 364

1. What is the GCD of 88, 726, 680, 447?

GCD of 88, 726, 680, 447 is 1

2. Where do I get the detailed procedure to find GCD of 88, 726, 680, 447?

You can find a detailed procedure to find GCD of 88, 726, 680, 447 on our page.

3. How to find GCD of 88, 726, 680, 447 on a calculator?

You can find the GCD of 88, 726, 680, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.