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GCD of 248, 918, 214, 222 Calculator

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


Online GCD Calculator is useful to find the GCD of 248, 918, 214, 222 quickly. Get the easiest ways to solve the greatest common divisor of 248, 918, 214, 222 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 248, 918, 214, 222 with Factoring?

Given Input numbers are 248, 918, 214, 222

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

Divisors of 248 :

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

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222


GCD of numbers is the greatest common divisor

So, the GCD (248, 918, 214, 222) = 2.

Find GCD of 248, 918, 214, 222 using Prime Factorization

Given numbers are 248, 918, 214, 222

The list of prime factors of all numbers are

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 214 are 2 x 107

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 248, 918, 214, 222 is 2.

Steps to Calculate GCD of 248, 918, 214, 222 using LCM Formula

Given numbers are 248, 918, 214, 222

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

Apply this formula for all numbers.

Step1:

LCM(248, 918) = 113832

GCD(248, 918) = ( 248 x 918 ) / 113832

= 248 / 918

= 248


Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2


Step3:

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

= 2 / 222

= 2


So, Greatest Common Divisor of 248, 918, 214, 222 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 248, 918, 214, 222

Given numbers are 248, 918, 214, 222
The greatest common divisor of numbers 248, 918, 214, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 918, 214, 222 is 2.

FAQs on GCD of 248, 918, 214, 222 Calculator

1. What is the GCD of 248, 918, 214, 222?

GCD of given numbers 248, 918, 214, 222 is 2


2. How to calculate the greatest common divisor of 248, 918, 214, 222?

We can find the highest common divisor of 248, 918, 214, 222 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 248, 918, 214, 222 i.e 2.


3. How can I use the GCD of 248, 918, 214, 222Calculator?

Out the numbers 248, 918, 214, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.