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GCD of 640, 652, 904, 338 Calculator

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


Online GCD Calculator is useful to find the GCD of 640, 652, 904, 338 quickly. Get the easiest ways to solve the greatest common divisor of 640, 652, 904, 338 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 640, 652, 904, 338 with Factoring?

Given Input numbers are 640, 652, 904, 338

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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338


GCD of numbers is the greatest common divisor

So, the GCD (640, 652, 904, 338) = 2.

Find GCD of 640, 652, 904, 338 using Prime Factorization

Given numbers are 640, 652, 904, 338

The list of prime factors of all numbers are

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 652 are 2 x 2 x 163

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 21

Therefore, GCD of 640, 652, 904, 338 is 2.

Steps to Calculate GCD of 640, 652, 904, 338 using LCM Formula

Given numbers are 640, 652, 904, 338

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

Apply this formula for all numbers.

Step1:

LCM(640, 652) = 104320

GCD(640, 652) = ( 640 x 652 ) / 104320

= 640 / 652

= 640


Step2:

LCM(4, 904) = 904

GCD(4, 904) = ( 4 x 904 ) / 904

= 4 / 904

= 4


Step3:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4


So, Greatest Common Divisor of 640, 652, 904, 338 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 640, 652, 904, 338

Given numbers are 640, 652, 904, 338
The greatest common divisor of numbers 640, 652, 904, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 640, 652, 904, 338 is 2.

FAQs on GCD of 640, 652, 904, 338 Calculator

1. What is the GCD of 640, 652, 904, 338?

GCD of given numbers 640, 652, 904, 338 is 2


2. How to calculate the greatest common divisor of 640, 652, 904, 338?

We can find the highest common divisor of 640, 652, 904, 338 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 640, 652, 904, 338 i.e 2.


3. How can I use the GCD of 640, 652, 904, 338Calculator?

Out the numbers 640, 652, 904, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.