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GCD of 278, 248, 990, 872 Calculator

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


Online GCD Calculator is useful to find the GCD of 278, 248, 990, 872 quickly. Get the easiest ways to solve the greatest common divisor of 278, 248, 990, 872 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 278, 248, 990, 872 with Factoring?

Given Input numbers are 278, 248, 990, 872

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 248 :

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

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872


GCD of numbers is the greatest common divisor

So, the GCD (278, 248, 990, 872) = 2.

Find GCD of 278, 248, 990, 872 using Prime Factorization

Given numbers are 278, 248, 990, 872

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 21

Therefore, GCD of 278, 248, 990, 872 is 2.

Steps to Calculate GCD of 278, 248, 990, 872 using LCM Formula

Given numbers are 278, 248, 990, 872

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

Apply this formula for all numbers.

Step1:

LCM(278, 248) = 34472

GCD(278, 248) = ( 278 x 248 ) / 34472

= 278 / 248

= 278


Step2:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2


Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2


So, Greatest Common Divisor of 278, 248, 990, 872 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 278, 248, 990, 872

Given numbers are 278, 248, 990, 872
The greatest common divisor of numbers 278, 248, 990, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 248, 990, 872 is 2.

FAQs on GCD of 278, 248, 990, 872 Calculator

1. What is the GCD of 278, 248, 990, 872?

GCD of given numbers 278, 248, 990, 872 is 2


2. How to calculate the greatest common divisor of 278, 248, 990, 872?

We can find the highest common divisor of 278, 248, 990, 872 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 278, 248, 990, 872 i.e 2.


3. How can I use the GCD of 278, 248, 990, 872Calculator?

Out the numbers 278, 248, 990, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.