GCD of 878, 376, 274, 742 Calculator

Given Input numbers are 878, 376, 274, 742

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 878, 376, 274, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 376, 274, 742 is 2.

Therefore, GCD of numbers 878, 376, 274, 742 is 2

Given Input Data is 878, 376, 274, 742

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 274 is 2 x 137

Prime Factorization of 742 is 2 x 7 x 53

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, 376) = 165064

GCD(878, 376) = ( 878 x 376 ) / 165064

GCD(878, 376) = 330128 / 165064

GCD(878, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

Step3:

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

GCD of 878, 376, 274, 742 is 2

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1. What is the GCD of 878, 376, 274, 742?

GCD of 878, 376, 274, 742 is 2

2. Where do I get the detailed procedure to find GCD of 878, 376, 274, 742?

You can find a detailed procedure to find GCD of 878, 376, 274, 742 on our page.

3. How to find GCD of 878, 376, 274, 742 on a calculator?

You can find the GCD of 878, 376, 274, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.