GCD of 70, 174, 104, 996 Calculator

Given Input numbers are 70, 174, 104, 996

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 70, 174, 104, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 174, 104, 996 is 2.

Therefore, GCD of numbers 70, 174, 104, 996 is 2

Given Input Data is 70, 174, 104, 996

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 174 is 2 x 3 x 29

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(70, 174) = 6090

GCD(70, 174) = ( 70 x 174 ) / 6090

GCD(70, 174) = 12180 / 6090

GCD(70, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 70, 174, 104, 996 is 2

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• GCD of 74, 443, 589, 273
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• GCD of 34, 712, 700, 829

1. What is the GCD of 70, 174, 104, 996?

GCD of 70, 174, 104, 996 is 2

2. Where do I get the detailed procedure to find GCD of 70, 174, 104, 996?

You can find a detailed procedure to find GCD of 70, 174, 104, 996 on our page.

3. How to find GCD of 70, 174, 104, 996 on a calculator?

You can find the GCD of 70, 174, 104, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.