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GCD of 960, 213, 68, 471 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 213, 68, 471 quickly. Get the easiest ways to solve the greatest common divisor of 960, 213, 68, 471 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 213, 68, 471 with Factoring?

Given Input numbers are 960, 213, 68, 471

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471


GCD of numbers is the greatest common divisor

So, the GCD (960, 213, 68, 471) = 1.

Find GCD of 960, 213, 68, 471 using Prime Factorization

Given numbers are 960, 213, 68, 471

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 213 are 3 x 71

Prime factors of 68 are 2 x 2 x 17

Prime factors of 471 are 3 x 157

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 960, 213, 68, 471 using LCM Formula

Given numbers are 960, 213, 68, 471

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

Apply this formula for all numbers.

Step1:

LCM(960, 213) = 68160

GCD(960, 213) = ( 960 x 213 ) / 68160

= 960 / 213

= 960


Step2:

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

= 3 / 68

= 3


Step3:

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

= 1 / 471

= 1


So, Greatest Common Divisor of 960, 213, 68, 471 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 213, 68, 471

Given numbers are 960, 213, 68, 471
The greatest common divisor of numbers 960, 213, 68, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 213, 68, 471 is 1.

FAQs on GCD of 960, 213, 68, 471 Calculator

1. What is the GCD of 960, 213, 68, 471?

GCD of given numbers 960, 213, 68, 471 is 1


2. How to calculate the greatest common divisor of 960, 213, 68, 471?

We can find the highest common divisor of 960, 213, 68, 471 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 960, 213, 68, 471 i.e 1.


3. How can I use the GCD of 960, 213, 68, 471Calculator?

Out the numbers 960, 213, 68, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.