GCD of 656, 960, 468, 172 Calculator

Given Input numbers are 656, 960, 468, 172

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (656, 960, 468, 172) = 4.

Given numbers are 656, 960, 468, 172

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 656, 960, 468, 172 is 4.

Given numbers are 656, 960, 468, 172

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

Apply this formula for all numbers.

Step1:

LCM(656, 960) = 39360

GCD(656, 960) = ( 656 x 960 ) / 39360

= 656 / 960

= 656

Step2:

LCM(16, 468) = 1872

GCD(16, 468) = ( 16 x 468 ) / 1872

= 16 / 468

= 16

Step3:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

So, Greatest Common Divisor of 656, 960, 468, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 337, 112, 878
• GCD of 918, 542, 375, 241
• GCD of 665, 877, 443, 223
• GCD of 449, 819, 138, 590
• GCD of 378, 161, 622, 368

Given numbers are 656, 960, 468, 172
The greatest common divisor of numbers 656, 960, 468, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 960, 468, 172 is 4.

1. What is the GCD of 656, 960, 468, 172?

GCD of given numbers 656, 960, 468, 172 is 4

2. How to calculate the greatest common divisor of 656, 960, 468, 172?

We can find the highest common divisor of 656, 960, 468, 172 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 656, 960, 468, 172 i.e 4.

3. How can I use the GCD of 656, 960, 468, 172Calculator?

Out the numbers 656, 960, 468, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.