GCD of 726, 819, 61, 982 Calculator

Given Input numbers are 726, 819, 61, 982

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

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 726, 819, 61, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 819, 61, 982 is 1.

Therefore, GCD of numbers 726, 819, 61, 982 is 1

Given Input Data is 726, 819, 61, 982

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

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 61 is 61

Prime Factorization of 982 is 2 x 491

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(726, 819) = 198198

GCD(726, 819) = ( 726 x 819 ) / 198198

GCD(726, 819) = 594594 / 198198

GCD(726, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 726, 819, 61, 982 is 1

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• GCD of 408, 366, 88, 216
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• GCD of 115, 147, 10, 994
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1. What is the GCD of 726, 819, 61, 982?

GCD of 726, 819, 61, 982 is 1

2. Where do I get the detailed procedure to find GCD of 726, 819, 61, 982?

You can find a detailed procedure to find GCD of 726, 819, 61, 982 on our page.

3. How to find GCD of 726, 819, 61, 982 on a calculator?

You can find the GCD of 726, 819, 61, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.