GCD of 320, 105, 829, 961 Calculator

Given Input numbers are 320, 105, 829, 961

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 105 :

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

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (320, 105, 829, 961) = 1.

Given numbers are 320, 105, 829, 961

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 105 are 3 x 5 x 7

Prime factors of 829 are 829

Prime factors of 961 are 31 x 31

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

Given numbers are 320, 105, 829, 961

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

Apply this formula for all numbers.

Step1:

LCM(320, 105) = 6720

GCD(320, 105) = ( 320 x 105 ) / 6720

= 320 / 105

= 320

Step2:

LCM(5, 829) = 4145

GCD(5, 829) = ( 5 x 829 ) / 4145

= 5 / 829

= 5

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 320, 105, 829, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 251, 331, 214
• GCD of 618, 877, 405, 974
• GCD of 517, 680, 547, 158
• GCD of 586, 860, 802, 476
• GCD of 422, 711, 773, 895

Given numbers are 320, 105, 829, 961
The greatest common divisor of numbers 320, 105, 829, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 105, 829, 961 is 1.

1. What is the GCD of 320, 105, 829, 961?

GCD of given numbers 320, 105, 829, 961 is 1

2. How to calculate the greatest common divisor of 320, 105, 829, 961?

We can find the highest common divisor of 320, 105, 829, 961 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 320, 105, 829, 961 i.e 1.

3. How can I use the GCD of 320, 105, 829, 961Calculator?

Out the numbers 320, 105, 829, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.