GCD of 338, 929, 198, 400 Calculator

Given Input numbers are 338, 929, 198, 400

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (338, 929, 198, 400) = 1.

Given numbers are 338, 929, 198, 400

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 929 are 929

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 338, 929, 198, 400

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

Apply this formula for all numbers.

Step1:

LCM(338, 929) = 314002

GCD(338, 929) = ( 338 x 929 ) / 314002

= 338 / 929

= 338

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 338, 929, 198, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 694, 455, 207
• GCD of 342, 951, 147, 111
• GCD of 218, 536, 720, 311
• GCD of 644, 246, 733, 244
• GCD of 687, 930, 198, 190

Given numbers are 338, 929, 198, 400
The greatest common divisor of numbers 338, 929, 198, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 929, 198, 400 is 1.

1. What is the GCD of 338, 929, 198, 400?

GCD of given numbers 338, 929, 198, 400 is 1

2. How to calculate the greatest common divisor of 338, 929, 198, 400?

We can find the highest common divisor of 338, 929, 198, 400 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 338, 929, 198, 400 i.e 1.

3. How can I use the GCD of 338, 929, 198, 400Calculator?

Out the numbers 338, 929, 198, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.