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GCD of 412, 964, 320 Calculator

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


Online GCD Calculator is useful to find the GCD of 412, 964, 320 quickly. Get the easiest ways to solve the greatest common divisor of 412, 964, 320 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 412, 964, 320 with Factoring?

Given Input numbers are 412, 964, 320

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

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


GCD of numbers is the greatest common divisor

So, the GCD (412, 964, 320) = 4.

Find GCD of 412, 964, 320 using Prime Factorization

Given numbers are 412, 964, 320

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 964 are 2 x 2 x 241

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

The highest common occurrence is 22

Therefore, GCD of 412, 964, 320 is 4.

Steps to Calculate GCD of 412, 964, 320 using LCM Formula

Given numbers are 412, 964, 320

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

Apply this formula for all numbers.

Step1:

LCM(412, 964) = 99292

GCD(412, 964) = ( 412 x 964 ) / 99292

= 412 / 964

= 412


Step2:

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

= 4 / 320

= 4


So, Greatest Common Divisor of 412, 964, 320 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 412, 964, 320

Given numbers are 412, 964, 320
The greatest common divisor of numbers 412, 964, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 964, 320 is 4.

FAQs on GCD of 412, 964, 320 Calculator

1. What is the GCD of 412, 964, 320?

GCD of given numbers 412, 964, 320 is 4


2. How to calculate the greatest common divisor of 412, 964, 320?

We can find the highest common divisor of 412, 964, 320 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 412, 964, 320 i.e 4.


3. How can I use the GCD of 412, 964, 320Calculator?

Out the numbers 412, 964, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.