GCD of 800, 960, 122, 646 Calculator

Given Input numbers are 800, 960, 122, 646

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (800, 960, 122, 646) = 2.

Given numbers are 800, 960, 122, 646

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 122 are 2 x 61

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 800, 960, 122, 646 is 2.

Given numbers are 800, 960, 122, 646

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

Apply this formula for all numbers.

Step1:

LCM(800, 960) = 4800

GCD(800, 960) = ( 800 x 960 ) / 4800

= 800 / 960

= 800

Step2:

LCM(160, 122) = 9760

GCD(160, 122) = ( 160 x 122 ) / 9760

= 160 / 122

= 160

Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

So, Greatest Common Divisor of 800, 960, 122, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 756, 807, 640
• GCD of 565, 373, 542, 337
• GCD of 898, 682, 315, 385
• GCD of 514, 857, 595, 885
• GCD of 106, 721, 983, 501

Given numbers are 800, 960, 122, 646
The greatest common divisor of numbers 800, 960, 122, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 960, 122, 646 is 2.

1. What is the GCD of 800, 960, 122, 646?

GCD of given numbers 800, 960, 122, 646 is 2

2. How to calculate the greatest common divisor of 800, 960, 122, 646?

We can find the highest common divisor of 800, 960, 122, 646 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 800, 960, 122, 646 i.e 2.

3. How can I use the GCD of 800, 960, 122, 646Calculator?

Out the numbers 800, 960, 122, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.