GCD of 726, 408, 61, 187 Calculator

Given Input numbers are 726, 408, 61, 187

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 61

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

1, 61

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 726, 408, 61, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 408, 61, 187 is 1.

Therefore, GCD of numbers 726, 408, 61, 187 is 1

Given Input Data is 726, 408, 61, 187

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 61 is 61

Prime Factorization of 187 is 11 x 17

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, 408) = 49368

GCD(726, 408) = ( 726 x 408 ) / 49368

GCD(726, 408) = 296208 / 49368

GCD(726, 408) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 61

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

LCM(6, 61) = 366

GCD(6, 61) = ( 6 x 61 ) / 366

GCD(6, 61) = 366 / 366

GCD(6, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 726, 408, 61, 187 is 1

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• GCD of 141, 291, 17, 983
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1. What is the GCD of 726, 408, 61, 187?

GCD of 726, 408, 61, 187 is 1

2. Where do I get the detailed procedure to find GCD of 726, 408, 61, 187?

You can find a detailed procedure to find GCD of 726, 408, 61, 187 on our page.

3. How to find GCD of 726, 408, 61, 187 on a calculator?

You can find the GCD of 726, 408, 61, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.