GCD of 960, 558, 312, 340 Calculator

Given Input numbers are 960, 558, 312, 340

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

GCD of numbers is the greatest common divisor

So, the GCD (960, 558, 312, 340) = 2.

Given numbers are 960, 558, 312, 340

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 960, 558, 312, 340 is 2.

Given numbers are 960, 558, 312, 340

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

Apply this formula for all numbers.

Step1:

LCM(960, 558) = 89280

GCD(960, 558) = ( 960 x 558 ) / 89280

= 960 / 558

= 960

Step2:

LCM(6, 312) = 312

GCD(6, 312) = ( 6 x 312 ) / 312

= 6 / 312

= 6

Step3:

LCM(6, 340) = 1020

GCD(6, 340) = ( 6 x 340 ) / 1020

= 6 / 340

= 6

So, Greatest Common Divisor of 960, 558, 312, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 214, 662, 136
• GCD of 356, 699, 657, 872
• GCD of 668, 458, 214, 621
• GCD of 128, 421, 889, 731
• GCD of 770, 930, 967, 501

Given numbers are 960, 558, 312, 340
The greatest common divisor of numbers 960, 558, 312, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 558, 312, 340 is 2.

1. What is the GCD of 960, 558, 312, 340?

GCD of given numbers 960, 558, 312, 340 is 2

2. How to calculate the greatest common divisor of 960, 558, 312, 340?

We can find the highest common divisor of 960, 558, 312, 340 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 960, 558, 312, 340 i.e 2.

3. How can I use the GCD of 960, 558, 312, 340Calculator?

Out the numbers 960, 558, 312, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.