GCD of 200, 886, 686, 800 Calculator

Given Input numbers are 200, 886, 686, 800

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 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (200, 886, 686, 800) = 2.

Given numbers are 200, 886, 686, 800

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 886 are 2 x 443

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 200, 886, 686, 800 is 2.

Given numbers are 200, 886, 686, 800

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

Apply this formula for all numbers.

Step1:

LCM(200, 886) = 88600

GCD(200, 886) = ( 200 x 886 ) / 88600

= 200 / 886

= 200

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 200, 886, 686, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 221, 188, 426
• GCD of 855, 222, 965, 661
• GCD of 846, 522, 410, 246
• GCD of 674, 610, 612, 427
• GCD of 893, 776, 246, 190

Given numbers are 200, 886, 686, 800
The greatest common divisor of numbers 200, 886, 686, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 886, 686, 800 is 2.

1. What is the GCD of 200, 886, 686, 800?

GCD of given numbers 200, 886, 686, 800 is 2

2. How to calculate the greatest common divisor of 200, 886, 686, 800?

We can find the highest common divisor of 200, 886, 686, 800 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, 886, 686, 800 i.e 2.

3. How can I use the GCD of 200, 886, 686, 800Calculator?

Out the numbers 200, 886, 686, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.