GCD of 726, 351, 137, 495 Calculator

Given Input numbers are 726, 351, 137, 495

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 726, 351, 137, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 351, 137, 495 is 1.

Therefore, GCD of numbers 726, 351, 137, 495 is 1

Given Input Data is 726, 351, 137, 495

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 137 is 137

Prime Factorization of 495 is 3 x 3 x 5 x 11

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, 351) = 84942

GCD(726, 351) = ( 726 x 351 ) / 84942

GCD(726, 351) = 254826 / 84942

GCD(726, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 137

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

LCM(3, 137) = 411

GCD(3, 137) = ( 3 x 137 ) / 411

GCD(3, 137) = 411 / 411

GCD(3, 137) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 726, 351, 137, 495 is 1

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• GCD of 685, 101, 353, 137
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1. What is the GCD of 726, 351, 137, 495?

GCD of 726, 351, 137, 495 is 1

2. Where do I get the detailed procedure to find GCD of 726, 351, 137, 495?

You can find a detailed procedure to find GCD of 726, 351, 137, 495 on our page.

3. How to find GCD of 726, 351, 137, 495 on a calculator?

You can find the GCD of 726, 351, 137, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.