GCD of 478, 338, 200, 289 Calculator

Given Input numbers are 478, 338, 200, 289

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (478, 338, 200, 289) = 1.

Given numbers are 478, 338, 200, 289

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 289 are 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 478, 338, 200, 289

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

Apply this formula for all numbers.

Step1:

LCM(478, 338) = 80782

GCD(478, 338) = ( 478 x 338 ) / 80782

= 478 / 338

= 478

Step2:

LCM(2, 200) = 200

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

= 2 / 200

= 2

Step3:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

So, Greatest Common Divisor of 478, 338, 200, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 228, 402, 506
• GCD of 865, 906, 848, 250
• GCD of 998, 664, 675, 928
• GCD of 920, 576, 563, 809
• GCD of 282, 738, 808, 345

Given numbers are 478, 338, 200, 289
The greatest common divisor of numbers 478, 338, 200, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 338, 200, 289 is 1.

1. What is the GCD of 478, 338, 200, 289?

GCD of given numbers 478, 338, 200, 289 is 1

2. How to calculate the greatest common divisor of 478, 338, 200, 289?

We can find the highest common divisor of 478, 338, 200, 289 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 478, 338, 200, 289 i.e 1.

3. How can I use the GCD of 478, 338, 200, 289Calculator?

Out the numbers 478, 338, 200, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.