GCD of 742, 246, 38, 850 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 742, 246, 38, 850 i.e. 2 largest integer that divides all the numbers equally.

GCD of 742, 246, 38, 850 is 2

GCD(742, 246, 38, 850) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 742, 246, 38, 850 is 2

GCD(742, 246, 38, 850) = 2

GCD of 742,246,38,850 Calculator

GCDof 742,246,38,850 is 2

Given Input numbers are 742, 246, 38, 850

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

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 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 742, 246, 38, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 246, 38, 850 is 2.

Therefore, GCD of numbers 742, 246, 38, 850 is 2

Finding GCD of 742, 246, 38, 850 using Prime Factorization

Given Input Data is 742, 246, 38, 850

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 38 is 2 x 19

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

Finding GCD of 742, 246, 38, 850 using LCM Formula

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(742, 246) = 91266

GCD(742, 246) = ( 742 x 246 ) / 91266

GCD(742, 246) = 182532 / 91266

GCD(742, 246) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 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 742, 246, 38, 850 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 742, 246, 38, 850

1. What is the GCD of 742, 246, 38, 850?

GCD of 742, 246, 38, 850 is 2


2. Where do I get the detailed procedure to find GCD of 742, 246, 38, 850?

You can find a detailed procedure to find GCD of 742, 246, 38, 850 on our page.


3. How to find GCD of 742, 246, 38, 850 on a calculator?

You can find the GCD of 742, 246, 38, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.