GCD of 115, 148, 76, 170 Calculator

Given Input numbers are 115, 148, 76, 170

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 115, 148, 76, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 148, 76, 170 is 1.

Therefore, GCD of numbers 115, 148, 76, 170 is 1

Given Input Data is 115, 148, 76, 170

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 170 is 2 x 5 x 17

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(115, 148) = 17020

GCD(115, 148) = ( 115 x 148 ) / 17020

GCD(115, 148) = 17020 / 17020

GCD(115, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 115, 148, 76, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 944, 89, 923
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1. What is the GCD of 115, 148, 76, 170?

GCD of 115, 148, 76, 170 is 1

2. Where do I get the detailed procedure to find GCD of 115, 148, 76, 170?

You can find a detailed procedure to find GCD of 115, 148, 76, 170 on our page.

3. How to find GCD of 115, 148, 76, 170 on a calculator?

You can find the GCD of 115, 148, 76, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.