GCD of 577, 138, 469, 726 Calculator

Given Input numbers are 577, 138, 469, 726

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

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

Greatest Common Divisior

We found the divisors of 577, 138, 469, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 138, 469, 726 is 1.

Therefore, GCD of numbers 577, 138, 469, 726 is 1

Given Input Data is 577, 138, 469, 726

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

Prime Factorization of 577 is 577

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 469 is 7 x 67

Prime Factorization of 726 is 2 x 3 x 11 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(577, 138) = 79626

GCD(577, 138) = ( 577 x 138 ) / 79626

GCD(577, 138) = 79626 / 79626

GCD(577, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 577, 138, 469, 726 is 1

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1. What is the GCD of 577, 138, 469, 726?

GCD of 577, 138, 469, 726 is 1

2. Where do I get the detailed procedure to find GCD of 577, 138, 469, 726?

You can find a detailed procedure to find GCD of 577, 138, 469, 726 on our page.

3. How to find GCD of 577, 138, 469, 726 on a calculator?

You can find the GCD of 577, 138, 469, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.