GCD of 368, 742, 74, 850 Calculator

Given Input numbers are 368, 742, 74, 850

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 74

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

1, 2, 37, 74

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 368, 742, 74, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 742, 74, 850 is 2.

Therefore, GCD of numbers 368, 742, 74, 850 is 2

Given Input Data is 368, 742, 74, 850

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 74 is 2 x 37

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(368, 742) = 136528

GCD(368, 742) = ( 368 x 742 ) / 136528

GCD(368, 742) = 273056 / 136528

GCD(368, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

GCD of 368, 742, 74, 850 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 816, 58, 966
• GCD of 997, 718, 23, 345
• GCD of 967, 912, 47, 169
• GCD of 871, 564, 53, 765
• GCD of 503, 404, 61, 166

1. What is the GCD of 368, 742, 74, 850?

GCD of 368, 742, 74, 850 is 2

2. Where do I get the detailed procedure to find GCD of 368, 742, 74, 850?

You can find a detailed procedure to find GCD of 368, 742, 74, 850 on our page.

3. How to find GCD of 368, 742, 74, 850 on a calculator?

You can find the GCD of 368, 742, 74, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.