GCD of 705, 726, 36, 731 Calculator

Given Input numbers are 705, 726, 36, 731

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 705, 726, 36, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 726, 36, 731 is 1.

Therefore, GCD of numbers 705, 726, 36, 731 is 1

Given Input Data is 705, 726, 36, 731

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

Prime Factorization of 705 is 3 x 5 x 47

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(705, 726) = 170610

GCD(705, 726) = ( 705 x 726 ) / 170610

GCD(705, 726) = 511830 / 170610

GCD(705, 726) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 731

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

LCM(3, 731) = 2193

GCD(3, 731) = ( 3 x 731 ) / 2193

GCD(3, 731) = 2193 / 2193

GCD(3, 731) = 1

GCD of 705, 726, 36, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 161, 35, 248
• GCD of 654, 210, 99, 622
• GCD of 138, 956, 47, 272
• GCD of 467, 911, 70, 701
• GCD of 952, 289, 90, 230

1. What is the GCD of 705, 726, 36, 731?

GCD of 705, 726, 36, 731 is 1

2. Where do I get the detailed procedure to find GCD of 705, 726, 36, 731?

You can find a detailed procedure to find GCD of 705, 726, 36, 731 on our page.

3. How to find GCD of 705, 726, 36, 731 on a calculator?

You can find the GCD of 705, 726, 36, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.