GCD of 909, 616, 48, 348 Calculator

Given Input numbers are 909, 616, 48, 348

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

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 909, 616, 48, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 616, 48, 348 is 1.

Therefore, GCD of numbers 909, 616, 48, 348 is 1

Given Input Data is 909, 616, 48, 348

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(909, 616) = 559944

GCD(909, 616) = ( 909 x 616 ) / 559944

GCD(909, 616) = 559944 / 559944

GCD(909, 616) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 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 909, 616, 48, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 715, 56, 281
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• GCD of 344, 339, 56, 459
• GCD of 484, 951, 57, 520
• GCD of 590, 533, 10, 304

1. What is the GCD of 909, 616, 48, 348?

GCD of 909, 616, 48, 348 is 1

2. Where do I get the detailed procedure to find GCD of 909, 616, 48, 348?

You can find a detailed procedure to find GCD of 909, 616, 48, 348 on our page.

3. How to find GCD of 909, 616, 48, 348 on a calculator?

You can find the GCD of 909, 616, 48, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.