GCD of 661, 517, 909, 348 Calculator

Given Input numbers are 661, 517, 909, 348

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 661, 517, 909, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 517, 909, 348 is 1.

Therefore, GCD of numbers 661, 517, 909, 348 is 1

Given Input Data is 661, 517, 909, 348

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

Prime Factorization of 661 is 661

Prime Factorization of 517 is 11 x 47

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(661, 517) = 341737

GCD(661, 517) = ( 661 x 517 ) / 341737

GCD(661, 517) = 341737 / 341737

GCD(661, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 661, 517, 909, 348 is 1

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1. What is the GCD of 661, 517, 909, 348?

GCD of 661, 517, 909, 348 is 1

2. Where do I get the detailed procedure to find GCD of 661, 517, 909, 348?

You can find a detailed procedure to find GCD of 661, 517, 909, 348 on our page.

3. How to find GCD of 661, 517, 909, 348 on a calculator?

You can find the GCD of 661, 517, 909, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.