GCD of 768, 160, 660, 208 Calculator

Given Input numbers are 768, 160, 660, 208

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (768, 160, 660, 208) = 4.

Given numbers are 768, 160, 660, 208

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2²

Therefore, GCD of 768, 160, 660, 208 is 4.

Given numbers are 768, 160, 660, 208

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

Apply this formula for all numbers.

Step1:

LCM(768, 160) = 3840

GCD(768, 160) = ( 768 x 160 ) / 3840

= 768 / 160

= 768

Step2:

LCM(32, 660) = 5280

GCD(32, 660) = ( 32 x 660 ) / 5280

= 32 / 660

= 32

Step3:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4

So, Greatest Common Divisor of 768, 160, 660, 208 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 911, 578, 584
• GCD of 571, 335, 906, 704
• GCD of 425, 463, 801, 265
• GCD of 534, 734, 770, 759
• GCD of 118, 257, 137, 152

Given numbers are 768, 160, 660, 208
The greatest common divisor of numbers 768, 160, 660, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 160, 660, 208 is 4.

1. What is the GCD of 768, 160, 660, 208?

GCD of given numbers 768, 160, 660, 208 is 4

2. How to calculate the greatest common divisor of 768, 160, 660, 208?

We can find the highest common divisor of 768, 160, 660, 208 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 768, 160, 660, 208 i.e 4.

3. How can I use the GCD of 768, 160, 660, 208Calculator?

Out the numbers 768, 160, 660, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.