GCD of 432, 354, 680, 200 Calculator

Given Input numbers are 432, 354, 680, 200

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

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (432, 354, 680, 200) = 2.

Given numbers are 432, 354, 680, 200

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 432, 354, 680, 200 is 2.

Given numbers are 432, 354, 680, 200

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

Apply this formula for all numbers.

Step1:

LCM(432, 354) = 25488

GCD(432, 354) = ( 432 x 354 ) / 25488

= 432 / 354

= 432

Step2:

LCM(6, 680) = 2040

GCD(6, 680) = ( 6 x 680 ) / 2040

= 6 / 680

= 6

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 432, 354, 680, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 629, 969, 209
• GCD of 132, 777, 403, 586
• GCD of 553, 718, 620, 450
• GCD of 405, 744, 235, 341
• GCD of 330, 860, 705, 714

Given numbers are 432, 354, 680, 200
The greatest common divisor of numbers 432, 354, 680, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 354, 680, 200 is 2.

1. What is the GCD of 432, 354, 680, 200?

GCD of given numbers 432, 354, 680, 200 is 2

2. How to calculate the greatest common divisor of 432, 354, 680, 200?

We can find the highest common divisor of 432, 354, 680, 200 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 432, 354, 680, 200 i.e 2.

3. How can I use the GCD of 432, 354, 680, 200Calculator?

Out the numbers 432, 354, 680, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.