GCD of 176, 656, 334, 960 Calculator

Given Input numbers are 176, 656, 334, 960

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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

GCD of numbers is the greatest common divisor

So, the GCD (176, 656, 334, 960) = 2.

Given numbers are 176, 656, 334, 960

The list of prime factors of all numbers are

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

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

Prime factors of 334 are 2 x 167

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

The highest common occurrence is 2¹

Therefore, GCD of 176, 656, 334, 960 is 2.

Given numbers are 176, 656, 334, 960

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

Apply this formula for all numbers.

Step1:

LCM(176, 656) = 7216

GCD(176, 656) = ( 176 x 656 ) / 7216

= 176 / 656

= 176

Step2:

LCM(16, 334) = 2672

GCD(16, 334) = ( 16 x 334 ) / 2672

= 16 / 334

= 16

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 176, 656, 334, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 753, 471, 521
• GCD of 376, 480, 611, 486
• GCD of 759, 217, 129, 328
• GCD of 566, 683, 782, 148
• GCD of 337, 869, 439, 964

Given numbers are 176, 656, 334, 960
The greatest common divisor of numbers 176, 656, 334, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 656, 334, 960 is 2.

1. What is the GCD of 176, 656, 334, 960?

GCD of given numbers 176, 656, 334, 960 is 2

2. How to calculate the greatest common divisor of 176, 656, 334, 960?

We can find the highest common divisor of 176, 656, 334, 960 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 176, 656, 334, 960 i.e 2.

3. How can I use the GCD of 176, 656, 334, 960Calculator?

Out the numbers 176, 656, 334, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.