GCD of 834, 102, 20, 960 Calculator

Given Input numbers are 834, 102, 20, 960

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

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

GCD of numbers is the greatest common divisor

So, the GCD (834, 102, 20, 960) = 2.

Given numbers are 834, 102, 20, 960

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 102 are 2 x 3 x 17

Prime factors of 20 are 2 x 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 834, 102, 20, 960 is 2.

Given numbers are 834, 102, 20, 960

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

Apply this formula for all numbers.

Step1:

LCM(834, 102) = 14178

GCD(834, 102) = ( 834 x 102 ) / 14178

= 834 / 102

= 834

Step2:

LCM(6, 20) = 60

GCD(6, 20) = ( 6 x 20 ) / 60

= 6 / 20

= 6

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 834, 102, 20, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 346, 58, 844
• GCD of 347, 528, 40, 512
• GCD of 807, 354, 71, 609
• GCD of 357, 361, 39, 999
• GCD of 894, 871, 46, 130

Given numbers are 834, 102, 20, 960
The greatest common divisor of numbers 834, 102, 20, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 102, 20, 960 is 2.

1. What is the GCD of 834, 102, 20, 960?

GCD of given numbers 834, 102, 20, 960 is 2

2. How to calculate the greatest common divisor of 834, 102, 20, 960?

We can find the highest common divisor of 834, 102, 20, 960 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 834, 102, 20, 960 i.e 2.

3. How can I use the GCD of 834, 102, 20, 960Calculator?

Out the numbers 834, 102, 20, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.