GCD of 878, 166, 102, 140 Calculator

Given Input numbers are 878, 166, 102, 140

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 878, 166, 102, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 166, 102, 140 is 2.

Therefore, GCD of numbers 878, 166, 102, 140 is 2

Given Input Data is 878, 166, 102, 140

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 166 is 2 x 83

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(878, 166) = 72874

GCD(878, 166) = ( 878 x 166 ) / 72874

GCD(878, 166) = 145748 / 72874

GCD(878, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

GCD of 878, 166, 102, 140 is 2

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1. What is the GCD of 878, 166, 102, 140?

GCD of 878, 166, 102, 140 is 2

2. Where do I get the detailed procedure to find GCD of 878, 166, 102, 140?

You can find a detailed procedure to find GCD of 878, 166, 102, 140 on our page.

3. How to find GCD of 878, 166, 102, 140 on a calculator?

You can find the GCD of 878, 166, 102, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.