GCD of 878, 178, 742, 724 Calculator

Given Input numbers are 878, 178, 742, 724

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 878, 178, 742, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 178, 742, 724 is 2.

Therefore, GCD of numbers 878, 178, 742, 724 is 2

Given Input Data is 878, 178, 742, 724

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 178 is 2 x 89

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 724 is 2 x 2 x 181

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, 178) = 78142

GCD(878, 178) = ( 878 x 178 ) / 78142

GCD(878, 178) = 156284 / 78142

GCD(878, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 878, 178, 742, 724 is 2

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1. What is the GCD of 878, 178, 742, 724?

GCD of 878, 178, 742, 724 is 2

2. Where do I get the detailed procedure to find GCD of 878, 178, 742, 724?

You can find a detailed procedure to find GCD of 878, 178, 742, 724 on our page.

3. How to find GCD of 878, 178, 742, 724 on a calculator?

You can find the GCD of 878, 178, 742, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.