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GCD of 222, 144, 825, 248 Calculator

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


Online GCD Calculator is useful to find the GCD of 222, 144, 825, 248 quickly. Get the easiest ways to solve the greatest common divisor of 222, 144, 825, 248 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 222, 144, 825, 248 with Factoring?

Given Input numbers are 222, 144, 825, 248

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

Divisors of 222 :

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

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 248 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (222, 144, 825, 248) = 1.

Find GCD of 222, 144, 825, 248 using Prime Factorization

Given numbers are 222, 144, 825, 248

The list of prime factors of all numbers are

Prime factors of 222 are 2 x 3 x 37

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 825 are 3 x 5 x 5 x 11

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

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

Steps to Calculate GCD of 222, 144, 825, 248 using LCM Formula

Given numbers are 222, 144, 825, 248

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

Apply this formula for all numbers.

Step1:

LCM(222, 144) = 5328

GCD(222, 144) = ( 222 x 144 ) / 5328

= 222 / 144

= 222


Step2:

LCM(6, 825) = 1650

GCD(6, 825) = ( 6 x 825 ) / 1650

= 6 / 825

= 6


Step3:

LCM(3, 248) = 744

GCD(3, 248) = ( 3 x 248 ) / 744

= 3 / 248

= 3


So, Greatest Common Divisor of 222, 144, 825, 248 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 222, 144, 825, 248

Given numbers are 222, 144, 825, 248
The greatest common divisor of numbers 222, 144, 825, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 144, 825, 248 is 1.

FAQs on GCD of 222, 144, 825, 248 Calculator

1. What is the GCD of 222, 144, 825, 248?

GCD of given numbers 222, 144, 825, 248 is 1


2. How to calculate the greatest common divisor of 222, 144, 825, 248?

We can find the highest common divisor of 222, 144, 825, 248 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 222, 144, 825, 248 i.e 1.


3. How can I use the GCD of 222, 144, 825, 248Calculator?

Out the numbers 222, 144, 825, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.