GCD of 105, 961, 960, 495 Calculator

Given Input numbers are 105, 961, 960, 495

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

Divisors of 105 :

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

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

Divisors of 961 :

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

1, 31, 961

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (105, 961, 960, 495) = 1.

Given numbers are 105, 961, 960, 495

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 961 are 31 x 31

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

Prime factors of 495 are 3 x 3 x 5 x 11

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

Given numbers are 105, 961, 960, 495

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

Apply this formula for all numbers.

Step1:

LCM(105, 961) = 100905

GCD(105, 961) = ( 105 x 961 ) / 100905

= 105 / 961

= 105

Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

Step3:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

So, Greatest Common Divisor of 105, 961, 960, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 801, 854, 314
• GCD of 403, 170, 371, 998
• GCD of 997, 422, 635, 474
• GCD of 336, 772, 578, 585
• GCD of 120, 966, 942, 486

Given numbers are 105, 961, 960, 495
The greatest common divisor of numbers 105, 961, 960, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 961, 960, 495 is 1.

1. What is the GCD of 105, 961, 960, 495?

GCD of given numbers 105, 961, 960, 495 is 1

2. How to calculate the greatest common divisor of 105, 961, 960, 495?

We can find the highest common divisor of 105, 961, 960, 495 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 105, 961, 960, 495 i.e 1.

3. How can I use the GCD of 105, 961, 960, 495Calculator?

Out the numbers 105, 961, 960, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.