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GCD of 650, 348, 320, 224 Calculator

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


Online GCD Calculator is useful to find the GCD of 650, 348, 320, 224 quickly. Get the easiest ways to solve the greatest common divisor of 650, 348, 320, 224 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 650, 348, 320, 224 with Factoring?

Given Input numbers are 650, 348, 320, 224

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

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (650, 348, 320, 224) = 2.

Find GCD of 650, 348, 320, 224 using Prime Factorization

Given numbers are 650, 348, 320, 224

The list of prime factors of all numbers are

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 21

Therefore, GCD of 650, 348, 320, 224 is 2.

Steps to Calculate GCD of 650, 348, 320, 224 using LCM Formula

Given numbers are 650, 348, 320, 224

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

Apply this formula for all numbers.

Step1:

LCM(650, 348) = 113100

GCD(650, 348) = ( 650 x 348 ) / 113100

= 650 / 348

= 650


Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2


Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2


So, Greatest Common Divisor of 650, 348, 320, 224 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 650, 348, 320, 224

Given numbers are 650, 348, 320, 224
The greatest common divisor of numbers 650, 348, 320, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 348, 320, 224 is 2.

FAQs on GCD of 650, 348, 320, 224 Calculator

1. What is the GCD of 650, 348, 320, 224?

GCD of given numbers 650, 348, 320, 224 is 2


2. How to calculate the greatest common divisor of 650, 348, 320, 224?

We can find the highest common divisor of 650, 348, 320, 224 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 650, 348, 320, 224 i.e 2.


3. How can I use the GCD of 650, 348, 320, 224Calculator?

Out the numbers 650, 348, 320, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.