GCD of 800, 564, 306, 874 Calculator

Given Input numbers are 800, 564, 306, 874

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (800, 564, 306, 874) = 2.

Given numbers are 800, 564, 306, 874

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 564 are 2 x 2 x 3 x 47

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 800, 564, 306, 874 is 2.

Given numbers are 800, 564, 306, 874

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

Apply this formula for all numbers.

Step1:

LCM(800, 564) = 112800

GCD(800, 564) = ( 800 x 564 ) / 112800

= 800 / 564

= 800

Step2:

LCM(4, 306) = 612

GCD(4, 306) = ( 4 x 306 ) / 612

= 4 / 306

= 4

Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 800, 564, 306, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 453, 204, 791
• GCD of 883, 437, 193, 198
• GCD of 616, 495, 549, 272
• GCD of 272, 323, 143, 413
• GCD of 894, 498, 253, 660

Given numbers are 800, 564, 306, 874
The greatest common divisor of numbers 800, 564, 306, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 564, 306, 874 is 2.

1. What is the GCD of 800, 564, 306, 874?

GCD of given numbers 800, 564, 306, 874 is 2

2. How to calculate the greatest common divisor of 800, 564, 306, 874?

We can find the highest common divisor of 800, 564, 306, 874 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, 564, 306, 874 i.e 2.

3. How can I use the GCD of 800, 564, 306, 874Calculator?

Out the numbers 800, 564, 306, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.