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GCD of 288, 262, 702, 888 Calculator

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


Online GCD Calculator is useful to find the GCD of 288, 262, 702, 888 quickly. Get the easiest ways to solve the greatest common divisor of 288, 262, 702, 888 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 288, 262, 702, 888 with Factoring?

Given Input numbers are 288, 262, 702, 888

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888


GCD of numbers is the greatest common divisor

So, the GCD (288, 262, 702, 888) = 2.

Find GCD of 288, 262, 702, 888 using Prime Factorization

Given numbers are 288, 262, 702, 888

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 262 are 2 x 131

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 288, 262, 702, 888 is 2.

Steps to Calculate GCD of 288, 262, 702, 888 using LCM Formula

Given numbers are 288, 262, 702, 888

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

Apply this formula for all numbers.

Step1:

LCM(288, 262) = 37728

GCD(288, 262) = ( 288 x 262 ) / 37728

= 288 / 262

= 288


Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2


Step3:

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

= 2 / 888

= 2


So, Greatest Common Divisor of 288, 262, 702, 888 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 288, 262, 702, 888

Given numbers are 288, 262, 702, 888
The greatest common divisor of numbers 288, 262, 702, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 262, 702, 888 is 2.

FAQs on GCD of 288, 262, 702, 888 Calculator

1. What is the GCD of 288, 262, 702, 888?

GCD of given numbers 288, 262, 702, 888 is 2


2. How to calculate the greatest common divisor of 288, 262, 702, 888?

We can find the highest common divisor of 288, 262, 702, 888 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 288, 262, 702, 888 i.e 2.


3. How can I use the GCD of 288, 262, 702, 888Calculator?

Out the numbers 288, 262, 702, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.