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GCD of 208, 602, 708, 332 Calculator

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


Online GCD Calculator is useful to find the GCD of 208, 602, 708, 332 quickly. Get the easiest ways to solve the greatest common divisor of 208, 602, 708, 332 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 208, 602, 708, 332 with Factoring?

Given Input numbers are 208, 602, 708, 332

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332


GCD of numbers is the greatest common divisor

So, the GCD (208, 602, 708, 332) = 2.

Find GCD of 208, 602, 708, 332 using Prime Factorization

Given numbers are 208, 602, 708, 332

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 602 are 2 x 7 x 43

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 332 are 2 x 2 x 83

The highest common occurrence is 21

Therefore, GCD of 208, 602, 708, 332 is 2.

Steps to Calculate GCD of 208, 602, 708, 332 using LCM Formula

Given numbers are 208, 602, 708, 332

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

Apply this formula for all numbers.

Step1:

LCM(208, 602) = 62608

GCD(208, 602) = ( 208 x 602 ) / 62608

= 208 / 602

= 208


Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2


Step3:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2


So, Greatest Common Divisor of 208, 602, 708, 332 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 208, 602, 708, 332

Given numbers are 208, 602, 708, 332
The greatest common divisor of numbers 208, 602, 708, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 602, 708, 332 is 2.

FAQs on GCD of 208, 602, 708, 332 Calculator

1. What is the GCD of 208, 602, 708, 332?

GCD of given numbers 208, 602, 708, 332 is 2


2. How to calculate the greatest common divisor of 208, 602, 708, 332?

We can find the highest common divisor of 208, 602, 708, 332 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 208, 602, 708, 332 i.e 2.


3. How can I use the GCD of 208, 602, 708, 332Calculator?

Out the numbers 208, 602, 708, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.