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GCD of 352, 844, 392, 608 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 844, 392, 608 quickly. Get the easiest ways to solve the greatest common divisor of 352, 844, 392, 608 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 844, 392, 608 with Factoring?

Given Input numbers are 352, 844, 392, 608

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608


GCD of numbers is the greatest common divisor

So, the GCD (352, 844, 392, 608) = 4.

Find GCD of 352, 844, 392, 608 using Prime Factorization

Given numbers are 352, 844, 392, 608

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 844 are 2 x 2 x 211

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

The highest common occurrence is 22

Therefore, GCD of 352, 844, 392, 608 is 4.

Steps to Calculate GCD of 352, 844, 392, 608 using LCM Formula

Given numbers are 352, 844, 392, 608

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

Apply this formula for all numbers.

Step1:

LCM(352, 844) = 74272

GCD(352, 844) = ( 352 x 844 ) / 74272

= 352 / 844

= 352


Step2:

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

= 4 / 392

= 4


Step3:

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

= 4 / 608

= 4


So, Greatest Common Divisor of 352, 844, 392, 608 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 844, 392, 608

Given numbers are 352, 844, 392, 608
The greatest common divisor of numbers 352, 844, 392, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 844, 392, 608 is 4.

FAQs on GCD of 352, 844, 392, 608 Calculator

1. What is the GCD of 352, 844, 392, 608?

GCD of given numbers 352, 844, 392, 608 is 4


2. How to calculate the greatest common divisor of 352, 844, 392, 608?

We can find the highest common divisor of 352, 844, 392, 608 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 352, 844, 392, 608 i.e 4.


3. How can I use the GCD of 352, 844, 392, 608Calculator?

Out the numbers 352, 844, 392, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.