GCD of 844, 120, 800, 434 Calculator

Given Input numbers are 844, 120, 800, 434

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (844, 120, 800, 434) = 2.

Given numbers are 844, 120, 800, 434

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 844, 120, 800, 434 is 2.

Given numbers are 844, 120, 800, 434

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

Apply this formula for all numbers.

Step1:

LCM(844, 120) = 25320

GCD(844, 120) = ( 844 x 120 ) / 25320

= 844 / 120

= 844

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

Step3:

LCM(4, 434) = 868

GCD(4, 434) = ( 4 x 434 ) / 868

= 4 / 434

= 4

So, Greatest Common Divisor of 844, 120, 800, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 309, 445, 955
• GCD of 834, 204, 322, 398
• GCD of 925, 908, 774, 979
• GCD of 723, 516, 620, 184
• GCD of 421, 125, 645, 642

Given numbers are 844, 120, 800, 434
The greatest common divisor of numbers 844, 120, 800, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 120, 800, 434 is 2.

1. What is the GCD of 844, 120, 800, 434?

GCD of given numbers 844, 120, 800, 434 is 2

2. How to calculate the greatest common divisor of 844, 120, 800, 434?

We can find the highest common divisor of 844, 120, 800, 434 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 844, 120, 800, 434 i.e 2.

3. How can I use the GCD of 844, 120, 800, 434Calculator?

Out the numbers 844, 120, 800, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.