GCD of 104, 952, 148, 795 Calculator

Given Input numbers are 104, 952, 148, 795

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 104, 952, 148, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 952, 148, 795 is 1.

Therefore, GCD of numbers 104, 952, 148, 795 is 1

Given Input Data is 104, 952, 148, 795

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 795 is 3 x 5 x 53

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(104, 952) = 12376

GCD(104, 952) = ( 104 x 952 ) / 12376

GCD(104, 952) = 99008 / 12376

GCD(104, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 148

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

LCM(8, 148) = 296

GCD(8, 148) = ( 8 x 148 ) / 296

GCD(8, 148) = 1184 / 296

GCD(8, 148) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 795

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

LCM(4, 795) = 3180

GCD(4, 795) = ( 4 x 795 ) / 3180

GCD(4, 795) = 3180 / 3180

GCD(4, 795) = 1

GCD of 104, 952, 148, 795 is 1

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1. What is the GCD of 104, 952, 148, 795?

GCD of 104, 952, 148, 795 is 1

2. Where do I get the detailed procedure to find GCD of 104, 952, 148, 795?

You can find a detailed procedure to find GCD of 104, 952, 148, 795 on our page.

3. How to find GCD of 104, 952, 148, 795 on a calculator?

You can find the GCD of 104, 952, 148, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.