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GCD of 638, 590, 352, 168 Calculator

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


Online GCD Calculator is useful to find the GCD of 638, 590, 352, 168 quickly. Get the easiest ways to solve the greatest common divisor of 638, 590, 352, 168 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 638, 590, 352, 168 with Factoring?

Given Input numbers are 638, 590, 352, 168

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168


GCD of numbers is the greatest common divisor

So, the GCD (638, 590, 352, 168) = 2.

Find GCD of 638, 590, 352, 168 using Prime Factorization

Given numbers are 638, 590, 352, 168

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 590 are 2 x 5 x 59

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

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 638, 590, 352, 168 is 2.

Steps to Calculate GCD of 638, 590, 352, 168 using LCM Formula

Given numbers are 638, 590, 352, 168

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

Apply this formula for all numbers.

Step1:

LCM(638, 590) = 188210

GCD(638, 590) = ( 638 x 590 ) / 188210

= 638 / 590

= 638


Step2:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2


Step3:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2


So, Greatest Common Divisor of 638, 590, 352, 168 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 638, 590, 352, 168

Given numbers are 638, 590, 352, 168
The greatest common divisor of numbers 638, 590, 352, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 590, 352, 168 is 2.

FAQs on GCD of 638, 590, 352, 168 Calculator

1. What is the GCD of 638, 590, 352, 168?

GCD of given numbers 638, 590, 352, 168 is 2


2. How to calculate the greatest common divisor of 638, 590, 352, 168?

We can find the highest common divisor of 638, 590, 352, 168 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 638, 590, 352, 168 i.e 2.


3. How can I use the GCD of 638, 590, 352, 168Calculator?

Out the numbers 638, 590, 352, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.