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GCD of 442, 726, 362, 308 Calculator

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


Online GCD Calculator is useful to find the GCD of 442, 726, 362, 308 quickly. Get the easiest ways to solve the greatest common divisor of 442, 726, 362, 308 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 442, 726, 362, 308 with Factoring?

Given Input numbers are 442, 726, 362, 308

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308


GCD of numbers is the greatest common divisor

So, the GCD (442, 726, 362, 308) = 2.

Find GCD of 442, 726, 362, 308 using Prime Factorization

Given numbers are 442, 726, 362, 308

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 362 are 2 x 181

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 21

Therefore, GCD of 442, 726, 362, 308 is 2.

Steps to Calculate GCD of 442, 726, 362, 308 using LCM Formula

Given numbers are 442, 726, 362, 308

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

Apply this formula for all numbers.

Step1:

LCM(442, 726) = 160446

GCD(442, 726) = ( 442 x 726 ) / 160446

= 442 / 726

= 442


Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2


Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2


So, Greatest Common Divisor of 442, 726, 362, 308 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 442, 726, 362, 308

Given numbers are 442, 726, 362, 308
The greatest common divisor of numbers 442, 726, 362, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 726, 362, 308 is 2.

FAQs on GCD of 442, 726, 362, 308 Calculator

1. What is the GCD of 442, 726, 362, 308?

GCD of given numbers 442, 726, 362, 308 is 2


2. How to calculate the greatest common divisor of 442, 726, 362, 308?

We can find the highest common divisor of 442, 726, 362, 308 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 442, 726, 362, 308 i.e 2.


3. How can I use the GCD of 442, 726, 362, 308Calculator?

Out the numbers 442, 726, 362, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.