GCD of 680, 296, 114, 288 Calculator

Given Input numbers are 680, 296, 114, 288

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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

GCD of numbers is the greatest common divisor

So, the GCD (680, 296, 114, 288) = 2.

Given numbers are 680, 296, 114, 288

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 114 are 2 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 680, 296, 114, 288 is 2.

Given numbers are 680, 296, 114, 288

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

Apply this formula for all numbers.

Step1:

LCM(680, 296) = 25160

GCD(680, 296) = ( 680 x 296 ) / 25160

= 680 / 296

= 680

Step2:

LCM(8, 114) = 456

GCD(8, 114) = ( 8 x 114 ) / 456

= 8 / 114

= 8

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 680, 296, 114, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 104, 679, 888
• GCD of 378, 870, 135, 521
• GCD of 884, 692, 710, 903
• GCD of 385, 386, 866, 790
• GCD of 243, 364, 930, 640

Given numbers are 680, 296, 114, 288
The greatest common divisor of numbers 680, 296, 114, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 296, 114, 288 is 2.

1. What is the GCD of 680, 296, 114, 288?

GCD of given numbers 680, 296, 114, 288 is 2

2. How to calculate the greatest common divisor of 680, 296, 114, 288?

We can find the highest common divisor of 680, 296, 114, 288 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 680, 296, 114, 288 i.e 2.

3. How can I use the GCD of 680, 296, 114, 288Calculator?

Out the numbers 680, 296, 114, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.