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GCD of 864, 248, 276, 213 Calculator

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


Online GCD Calculator is useful to find the GCD of 864, 248, 276, 213 quickly. Get the easiest ways to solve the greatest common divisor of 864, 248, 276, 213 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 248, 276, 213 with Factoring?

Given Input numbers are 864, 248, 276, 213

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 213 :

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

1, 3, 71, 213


GCD of numbers is the greatest common divisor

So, the GCD (864, 248, 276, 213) = 1.

Find GCD of 864, 248, 276, 213 using Prime Factorization

Given numbers are 864, 248, 276, 213

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 213 are 3 x 71

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

Steps to Calculate GCD of 864, 248, 276, 213 using LCM Formula

Given numbers are 864, 248, 276, 213

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

Apply this formula for all numbers.

Step1:

LCM(864, 248) = 26784

GCD(864, 248) = ( 864 x 248 ) / 26784

= 864 / 248

= 864


Step2:

LCM(8, 276) = 552

GCD(8, 276) = ( 8 x 276 ) / 552

= 8 / 276

= 8


Step3:

LCM(4, 213) = 852

GCD(4, 213) = ( 4 x 213 ) / 852

= 4 / 213

= 4


So, Greatest Common Divisor of 864, 248, 276, 213 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 248, 276, 213

Given numbers are 864, 248, 276, 213
The greatest common divisor of numbers 864, 248, 276, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 248, 276, 213 is 1.

FAQs on GCD of 864, 248, 276, 213 Calculator

1. What is the GCD of 864, 248, 276, 213?

GCD of given numbers 864, 248, 276, 213 is 1


2. How to calculate the greatest common divisor of 864, 248, 276, 213?

We can find the highest common divisor of 864, 248, 276, 213 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 864, 248, 276, 213 i.e 1.


3. How can I use the GCD of 864, 248, 276, 213Calculator?

Out the numbers 864, 248, 276, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.