GCD of 340, 872, 96, 288 Calculator

Given Input numbers are 340, 872, 96, 288

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 872 :

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

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

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 (340, 872, 96, 288) = 4.

Given numbers are 340, 872, 96, 288

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

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

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 2²

Therefore, GCD of 340, 872, 96, 288 is 4.

Given numbers are 340, 872, 96, 288

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

Apply this formula for all numbers.

Step1:

LCM(340, 872) = 74120

GCD(340, 872) = ( 340 x 872 ) / 74120

= 340 / 872

= 340

Step2:

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

= 4 / 96

= 4

Step3:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

So, Greatest Common Divisor of 340, 872, 96, 288 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 910, 56, 532
• GCD of 706, 515, 68, 121
• GCD of 909, 756, 95, 650
• GCD of 625, 621, 14, 264
• GCD of 173, 334, 39, 740

Given numbers are 340, 872, 96, 288
The greatest common divisor of numbers 340, 872, 96, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 872, 96, 288 is 4.

1. What is the GCD of 340, 872, 96, 288?

GCD of given numbers 340, 872, 96, 288 is 4

2. How to calculate the greatest common divisor of 340, 872, 96, 288?

We can find the highest common divisor of 340, 872, 96, 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 340, 872, 96, 288 i.e 4.

3. How can I use the GCD of 340, 872, 96, 288Calculator?

Out the numbers 340, 872, 96, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.