GCD of 526, 200, 314 Calculator

Given Input numbers are 526, 200, 314

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 526, 200, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 200, 314 is 2.

Therefore, GCD of numbers 526, 200, 314 is 2

Given Input Data is 526, 200, 314

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 526 is 2 x 263

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 314 is 2 x 157

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(526, 200) = 52600

GCD(526, 200) = ( 526 x 200 ) / 52600

GCD(526, 200) = 105200 / 52600

GCD(526, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 526, 200, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 686, 363
• GCD of 624, 789, 447
• GCD of 329, 516, 808
• GCD of 117, 874, 288
• GCD of 485, 136, 390

1. What is the GCD of 526, 200, 314?

GCD of 526, 200, 314 is 2

2. Where do I get the detailed procedure to find GCD of 526, 200, 314?

You can find a detailed procedure to find GCD of 526, 200, 314 on our page.

3. How to find GCD of 526, 200, 314 on a calculator?

You can find the GCD of 526, 200, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.