GCD of 915, 148, 113, 105 Calculator

Given Input numbers are 915, 148, 113, 105

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

Divisors of 915

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

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 915, 148, 113, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 148, 113, 105 is 1.

Therefore, GCD of numbers 915, 148, 113, 105 is 1

Given Input Data is 915, 148, 113, 105

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 113 is 113

Prime Factorization of 105 is 3 x 5 x 7

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(915, 148) = 135420

GCD(915, 148) = ( 915 x 148 ) / 135420

GCD(915, 148) = 135420 / 135420

GCD(915, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 915, 148, 113, 105 is 1

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• GCD of 866, 109, 410, 928
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1. What is the GCD of 915, 148, 113, 105?

GCD of 915, 148, 113, 105 is 1

2. Where do I get the detailed procedure to find GCD of 915, 148, 113, 105?

You can find a detailed procedure to find GCD of 915, 148, 113, 105 on our page.

3. How to find GCD of 915, 148, 113, 105 on a calculator?

You can find the GCD of 915, 148, 113, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.