GCD of 199, 548, 400, 200 Calculator

Given Input numbers are 199, 548, 400, 200

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

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

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 (199, 548, 400, 200) = 1.

Given numbers are 199, 548, 400, 200

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 548 are 2 x 2 x 137

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

Prime factors of 200 are 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 199, 548, 400, 200

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

Apply this formula for all numbers.

Step1:

LCM(199, 548) = 109052

GCD(199, 548) = ( 199 x 548 ) / 109052

= 199 / 548

= 199

Step2:

LCM(1, 400) = 400

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

= 1 / 400

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 199, 548, 400, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 264, 974, 278
• GCD of 578, 414, 354, 546
• GCD of 318, 120, 279, 996
• GCD of 453, 776, 580, 211
• GCD of 840, 946, 472, 570

Given numbers are 199, 548, 400, 200
The greatest common divisor of numbers 199, 548, 400, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 548, 400, 200 is 1.

1. What is the GCD of 199, 548, 400, 200?

GCD of given numbers 199, 548, 400, 200 is 1

2. How to calculate the greatest common divisor of 199, 548, 400, 200?

We can find the highest common divisor of 199, 548, 400, 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 199, 548, 400, 200 i.e 1.

3. How can I use the GCD of 199, 548, 400, 200Calculator?

Out the numbers 199, 548, 400, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.