GCD of 55, 462, 726, 146 Calculator

Given Input numbers are 55, 462, 726, 146

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 55, 462, 726, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 462, 726, 146 is 1.

Therefore, GCD of numbers 55, 462, 726, 146 is 1

Given Input Data is 55, 462, 726, 146

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 462 is 2 x 3 x 7 x 11

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

Prime Factorization of 146 is 2 x 73

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(55, 462) = 2310

GCD(55, 462) = ( 55 x 462 ) / 2310

GCD(55, 462) = 25410 / 2310

GCD(55, 462) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 726

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

LCM(11, 726) = 726

GCD(11, 726) = ( 11 x 726 ) / 726

GCD(11, 726) = 7986 / 726

GCD(11, 726) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 146

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

LCM(11, 146) = 1606

GCD(11, 146) = ( 11 x 146 ) / 1606

GCD(11, 146) = 1606 / 1606

GCD(11, 146) = 1

GCD of 55, 462, 726, 146 is 1

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• GCD of 39, 181, 780, 418
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1. What is the GCD of 55, 462, 726, 146?

GCD of 55, 462, 726, 146 is 1

2. Where do I get the detailed procedure to find GCD of 55, 462, 726, 146?

You can find a detailed procedure to find GCD of 55, 462, 726, 146 on our page.

3. How to find GCD of 55, 462, 726, 146 on a calculator?

You can find the GCD of 55, 462, 726, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.