GCD of 108, 971, 289, 482 Calculator

Given Input numbers are 108, 971, 289, 482

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

GCD of numbers is the greatest common divisor

So, the GCD (108, 971, 289, 482) = 1.

Given numbers are 108, 971, 289, 482

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 971 are 971

Prime factors of 289 are 17 x 17

Prime factors of 482 are 2 x 241

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

Given numbers are 108, 971, 289, 482

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

Apply this formula for all numbers.

Step1:

LCM(108, 971) = 104868

GCD(108, 971) = ( 108 x 971 ) / 104868

= 108 / 971

= 108

Step2:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

Step3:

LCM(1, 482) = 482

GCD(1, 482) = ( 1 x 482 ) / 482

= 1 / 482

= 1

So, Greatest Common Divisor of 108, 971, 289, 482 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 134, 850, 969
• GCD of 539, 291, 498, 369
• GCD of 341, 317, 599, 378
• GCD of 146, 135, 880, 439
• GCD of 568, 845, 898, 866

Given numbers are 108, 971, 289, 482
The greatest common divisor of numbers 108, 971, 289, 482 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 971, 289, 482 is 1.

1. What is the GCD of 108, 971, 289, 482?

GCD of given numbers 108, 971, 289, 482 is 1

2. How to calculate the greatest common divisor of 108, 971, 289, 482?

We can find the highest common divisor of 108, 971, 289, 482 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 108, 971, 289, 482 i.e 1.

3. How can I use the GCD of 108, 971, 289, 482Calculator?

Out the numbers 108, 971, 289, 482 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.