GCD of 74, 682, 278, 208 Calculator

Given Input numbers are 74, 682, 278, 208

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 74, 682, 278, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 682, 278, 208 is 2.

Therefore, GCD of numbers 74, 682, 278, 208 is 2

Given Input Data is 74, 682, 278, 208

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 278 is 2 x 139

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(74, 682) = 25234

GCD(74, 682) = ( 74 x 682 ) / 25234

GCD(74, 682) = 50468 / 25234

GCD(74, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

GCD of 74, 682, 278, 208 is 2

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1. What is the GCD of 74, 682, 278, 208?

GCD of 74, 682, 278, 208 is 2

2. Where do I get the detailed procedure to find GCD of 74, 682, 278, 208?

You can find a detailed procedure to find GCD of 74, 682, 278, 208 on our page.

3. How to find GCD of 74, 682, 278, 208 on a calculator?

You can find the GCD of 74, 682, 278, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.