GCD of 200, 694, 484, 850 Calculator

Given Input numbers are 200, 694, 484, 850

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

GCD of numbers is the greatest common divisor

So, the GCD (200, 694, 484, 850) = 2.

Given numbers are 200, 694, 484, 850

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 694 are 2 x 347

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 850 are 2 x 5 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 200, 694, 484, 850 is 2.

Given numbers are 200, 694, 484, 850

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

Apply this formula for all numbers.

Step1:

LCM(200, 694) = 69400

GCD(200, 694) = ( 200 x 694 ) / 69400

= 200 / 694

= 200

Step2:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

Step3:

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

= 2 / 850

= 2

So, Greatest Common Divisor of 200, 694, 484, 850 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 931, 255, 945
• GCD of 243, 131, 234, 536
• GCD of 704, 277, 308, 741
• GCD of 244, 960, 834, 839
• GCD of 902, 678, 310, 179

Given numbers are 200, 694, 484, 850
The greatest common divisor of numbers 200, 694, 484, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 694, 484, 850 is 2.

1. What is the GCD of 200, 694, 484, 850?

GCD of given numbers 200, 694, 484, 850 is 2

2. How to calculate the greatest common divisor of 200, 694, 484, 850?

We can find the highest common divisor of 200, 694, 484, 850 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, 694, 484, 850 i.e 2.

3. How can I use the GCD of 200, 694, 484, 850Calculator?

Out the numbers 200, 694, 484, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.