GCD of 200, 316, 56, 692 Calculator

Given Input numbers are 200, 316, 56, 692

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

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 200, 316, 56, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 316, 56, 692 is 4.

Therefore, GCD of numbers 200, 316, 56, 692 is 4

Given Input Data is 200, 316, 56, 692

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

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 692 is 2 x 2 x 173

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(200, 316) = 15800

GCD(200, 316) = ( 200 x 316 ) / 15800

GCD(200, 316) = 63200 / 15800

GCD(200, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 692

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

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

GCD(4, 692) = 2768 / 692

GCD(4, 692) = 4

GCD of 200, 316, 56, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 175, 33, 416
• GCD of 920, 124, 55, 174
• GCD of 912, 704, 60, 165
• GCD of 307, 270, 57, 176
• GCD of 751, 472, 97, 946

1. What is the GCD of 200, 316, 56, 692?

GCD of 200, 316, 56, 692 is 4

2. Where do I get the detailed procedure to find GCD of 200, 316, 56, 692?

You can find a detailed procedure to find GCD of 200, 316, 56, 692 on our page.

3. How to find GCD of 200, 316, 56, 692 on a calculator?

You can find the GCD of 200, 316, 56, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.