GCD of 800, 774, 40, 446 Calculator

Given Input numbers are 800, 774, 40, 446

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (800, 774, 40, 446) = 2.

Given numbers are 800, 774, 40, 446

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 774 are 2 x 3 x 3 x 43

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 800, 774, 40, 446 is 2.

Given numbers are 800, 774, 40, 446

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

Apply this formula for all numbers.

Step1:

LCM(800, 774) = 309600

GCD(800, 774) = ( 800 x 774 ) / 309600

= 800 / 774

= 800

Step2:

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

= 2 / 40

= 2

Step3:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

So, Greatest Common Divisor of 800, 774, 40, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 453, 21, 878
• GCD of 892, 491, 13, 618
• GCD of 910, 972, 17, 636
• GCD of 377, 180, 66, 537
• GCD of 116, 902, 60, 622

Given numbers are 800, 774, 40, 446
The greatest common divisor of numbers 800, 774, 40, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 774, 40, 446 is 2.

1. What is the GCD of 800, 774, 40, 446?

GCD of given numbers 800, 774, 40, 446 is 2

2. How to calculate the greatest common divisor of 800, 774, 40, 446?

We can find the highest common divisor of 800, 774, 40, 446 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, 774, 40, 446 i.e 2.

3. How can I use the GCD of 800, 774, 40, 446Calculator?

Out the numbers 800, 774, 40, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.