GCD of 238, 288, 278, 882 Calculator

Given Input numbers are 238, 288, 278, 882

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

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 278 :

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

1, 2, 139, 278

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (238, 288, 278, 882) = 2.

Given numbers are 238, 288, 278, 882

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

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

Prime factors of 278 are 2 x 139

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 238, 288, 278, 882 is 2.

Given numbers are 238, 288, 278, 882

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

Apply this formula for all numbers.

Step1:

LCM(238, 288) = 34272

GCD(238, 288) = ( 238 x 288 ) / 34272

= 238 / 288

= 238

Step2:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 238, 288, 278, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 935, 659, 586
• GCD of 940, 262, 156, 346
• GCD of 291, 872, 177, 289
• GCD of 658, 982, 927, 562
• GCD of 983, 823, 733, 112

Given numbers are 238, 288, 278, 882
The greatest common divisor of numbers 238, 288, 278, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 288, 278, 882 is 2.

1. What is the GCD of 238, 288, 278, 882?

GCD of given numbers 238, 288, 278, 882 is 2

2. How to calculate the greatest common divisor of 238, 288, 278, 882?

We can find the highest common divisor of 238, 288, 278, 882 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 238, 288, 278, 882 i.e 2.

3. How can I use the GCD of 238, 288, 278, 882Calculator?

Out the numbers 238, 288, 278, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.