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GCD of 272, 850, 494, 744 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 272, 850, 494, 744 quickly. Get the easiest ways to solve the greatest common divisor of 272, 850, 494, 744 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 850, 494, 744 with Factoring?

Given Input numbers are 272, 850, 494, 744

In the factoring method, we have to find the divisors of all numbers

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744


GCD of numbers is the greatest common divisor

So, the GCD (272, 850, 494, 744) = 2.

Find GCD of 272, 850, 494, 744 using Prime Factorization

Given numbers are 272, 850, 494, 744

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 494 are 2 x 13 x 19

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 21

Therefore, GCD of 272, 850, 494, 744 is 2.

Steps to Calculate GCD of 272, 850, 494, 744 using LCM Formula

Given numbers are 272, 850, 494, 744

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(272, 850) = 6800

GCD(272, 850) = ( 272 x 850 ) / 6800

= 272 / 850

= 272


Step2:

LCM(34, 494) = 8398

GCD(34, 494) = ( 34 x 494 ) / 8398

= 34 / 494

= 34


Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2


So, Greatest Common Divisor of 272, 850, 494, 744 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 850, 494, 744

Given numbers are 272, 850, 494, 744
The greatest common divisor of numbers 272, 850, 494, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 850, 494, 744 is 2.

FAQs on GCD of 272, 850, 494, 744 Calculator

1. What is the GCD of 272, 850, 494, 744?

GCD of given numbers 272, 850, 494, 744 is 2


2. How to calculate the greatest common divisor of 272, 850, 494, 744?

We can find the highest common divisor of 272, 850, 494, 744 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 272, 850, 494, 744 i.e 2.


3. How can I use the GCD of 272, 850, 494, 744Calculator?

Out the numbers 272, 850, 494, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.