GCD of 200, 476, 130, 856 Calculator

Given Input numbers are 200, 476, 130, 856

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

GCD of numbers is the greatest common divisor

So, the GCD (200, 476, 130, 856) = 2.

Given numbers are 200, 476, 130, 856

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 476 are 2 x 2 x 7 x 17

Prime factors of 130 are 2 x 5 x 13

Prime factors of 856 are 2 x 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 200, 476, 130, 856 is 2.

Given numbers are 200, 476, 130, 856

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

Apply this formula for all numbers.

Step1:

LCM(200, 476) = 23800

GCD(200, 476) = ( 200 x 476 ) / 23800

= 200 / 476

= 200

Step2:

LCM(4, 130) = 260

GCD(4, 130) = ( 4 x 130 ) / 260

= 4 / 130

= 4

Step3:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2

So, Greatest Common Divisor of 200, 476, 130, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 991, 498, 207
• GCD of 263, 526, 726, 916
• GCD of 343, 178, 112, 693
• GCD of 114, 803, 333, 861
• GCD of 230, 438, 242, 956

Given numbers are 200, 476, 130, 856
The greatest common divisor of numbers 200, 476, 130, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 476, 130, 856 is 2.

1. What is the GCD of 200, 476, 130, 856?

GCD of given numbers 200, 476, 130, 856 is 2

2. How to calculate the greatest common divisor of 200, 476, 130, 856?

We can find the highest common divisor of 200, 476, 130, 856 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, 476, 130, 856 i.e 2.

3. How can I use the GCD of 200, 476, 130, 856Calculator?

Out the numbers 200, 476, 130, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.