GCD of 274, 668, 878, 708 Calculator

Given Input numbers are 274, 668, 878, 708

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 878

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

1, 2, 439, 878

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 274, 668, 878, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 668, 878, 708 is 2.

Therefore, GCD of numbers 274, 668, 878, 708 is 2

Given Input Data is 274, 668, 878, 708

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 878 is 2 x 439

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(274, 668) = 91516

GCD(274, 668) = ( 274 x 668 ) / 91516

GCD(274, 668) = 183032 / 91516

GCD(274, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 274, 668, 878, 708 is 2

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1. What is the GCD of 274, 668, 878, 708?

GCD of 274, 668, 878, 708 is 2

2. Where do I get the detailed procedure to find GCD of 274, 668, 878, 708?

You can find a detailed procedure to find GCD of 274, 668, 878, 708 on our page.

3. How to find GCD of 274, 668, 878, 708 on a calculator?

You can find the GCD of 274, 668, 878, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.