GCD of 200, 664, 798, 254 Calculator

Given Input numbers are 200, 664, 798, 254

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

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (200, 664, 798, 254) = 2.

Given numbers are 200, 664, 798, 254

The list of prime factors of all numbers are

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

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 254 are 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 200, 664, 798, 254 is 2.

Given numbers are 200, 664, 798, 254

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

Apply this formula for all numbers.

Step1:

LCM(200, 664) = 16600

GCD(200, 664) = ( 200 x 664 ) / 16600

= 200 / 664

= 200

Step2:

LCM(8, 798) = 3192

GCD(8, 798) = ( 8 x 798 ) / 3192

= 8 / 798

= 8

Step3:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

So, Greatest Common Divisor of 200, 664, 798, 254 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 669, 169, 408
• GCD of 914, 787, 994, 875
• GCD of 745, 209, 149, 765
• GCD of 426, 150, 512, 432
• GCD of 377, 112, 213, 327

Given numbers are 200, 664, 798, 254
The greatest common divisor of numbers 200, 664, 798, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 664, 798, 254 is 2.

1. What is the GCD of 200, 664, 798, 254?

GCD of given numbers 200, 664, 798, 254 is 2

2. How to calculate the greatest common divisor of 200, 664, 798, 254?

We can find the highest common divisor of 200, 664, 798, 254 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 200, 664, 798, 254 i.e 2.

3. How can I use the GCD of 200, 664, 798, 254Calculator?

Out the numbers 200, 664, 798, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.