GCD of 240, 800, 432, 684 Calculator

Given Input numbers are 240, 800, 432, 684

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (240, 800, 432, 684) = 4.

Given numbers are 240, 800, 432, 684

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 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 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 240, 800, 432, 684 is 4.

Given numbers are 240, 800, 432, 684

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

Apply this formula for all numbers.

Step1:

LCM(240, 800) = 2400

GCD(240, 800) = ( 240 x 800 ) / 2400

= 240 / 800

= 240

Step2:

LCM(80, 432) = 2160

GCD(80, 432) = ( 80 x 432 ) / 2160

= 80 / 432

= 80

Step3:

LCM(16, 684) = 2736

GCD(16, 684) = ( 16 x 684 ) / 2736

= 16 / 684

= 16

So, Greatest Common Divisor of 240, 800, 432, 684 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 955, 945, 202
• GCD of 956, 919, 540, 441
• GCD of 137, 987, 868, 714
• GCD of 808, 199, 902, 508
• GCD of 808, 586, 963, 664

Given numbers are 240, 800, 432, 684
The greatest common divisor of numbers 240, 800, 432, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 800, 432, 684 is 4.

1. What is the GCD of 240, 800, 432, 684?

GCD of given numbers 240, 800, 432, 684 is 4

2. How to calculate the greatest common divisor of 240, 800, 432, 684?

We can find the highest common divisor of 240, 800, 432, 684 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 240, 800, 432, 684 i.e 4.

3. How can I use the GCD of 240, 800, 432, 684Calculator?

Out the numbers 240, 800, 432, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.