GCD of 72, 349, 168, 915 Calculator

Given Input numbers are 72, 349, 168, 915

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 72, 349, 168, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 349, 168, 915 is 1.

Therefore, GCD of numbers 72, 349, 168, 915 is 1

Given Input Data is 72, 349, 168, 915

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 349 is 349

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 915 is 3 x 5 x 61

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(72, 349) = 25128

GCD(72, 349) = ( 72 x 349 ) / 25128

GCD(72, 349) = 25128 / 25128

GCD(72, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 72, 349, 168, 915 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 144, 158, 515
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• GCD of 11, 690, 898, 104
• GCD of 97, 198, 376, 179

1. What is the GCD of 72, 349, 168, 915?

GCD of 72, 349, 168, 915 is 1

2. Where do I get the detailed procedure to find GCD of 72, 349, 168, 915?

You can find a detailed procedure to find GCD of 72, 349, 168, 915 on our page.

3. How to find GCD of 72, 349, 168, 915 on a calculator?

You can find the GCD of 72, 349, 168, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.