GCD of 908, 689, 480, 105 Calculator

Given Input numbers are 908, 689, 480, 105

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (908, 689, 480, 105) = 1.

Given numbers are 908, 689, 480, 105

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 689 are 13 x 53

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 105 are 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 908, 689, 480, 105

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

Apply this formula for all numbers.

Step1:

LCM(908, 689) = 625612

GCD(908, 689) = ( 908 x 689 ) / 625612

= 908 / 689

= 908

Step2:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 908, 689, 480, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 232, 121, 845
• GCD of 854, 321, 939, 468
• GCD of 483, 433, 152, 109
• GCD of 781, 629, 992, 898
• GCD of 388, 528, 204, 845

Given numbers are 908, 689, 480, 105
The greatest common divisor of numbers 908, 689, 480, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 689, 480, 105 is 1.

1. What is the GCD of 908, 689, 480, 105?

GCD of given numbers 908, 689, 480, 105 is 1

2. How to calculate the greatest common divisor of 908, 689, 480, 105?

We can find the highest common divisor of 908, 689, 480, 105 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 908, 689, 480, 105 i.e 1.

3. How can I use the GCD of 908, 689, 480, 105Calculator?

Out the numbers 908, 689, 480, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.