GCD of 200, 140, 44, 668 Calculator

Given Input numbers are 200, 140, 44, 668

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 200, 140, 44, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 140, 44, 668 is 4.

Therefore, GCD of numbers 200, 140, 44, 668 is 4

Given Input Data is 200, 140, 44, 668

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 140 is 2 x 2 x 5 x 7

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 668 is 2 x 2 x 167

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, 140) = 1400

GCD(200, 140) = ( 200 x 140 ) / 1400

GCD(200, 140) = 28000 / 1400

GCD(200, 140) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 44

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

LCM(20, 44) = 220

GCD(20, 44) = ( 20 x 44 ) / 220

GCD(20, 44) = 880 / 220

GCD(20, 44) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 668

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

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

GCD(4, 668) = 2672 / 668

GCD(4, 668) = 4

GCD of 200, 140, 44, 668 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 741, 53, 283
• GCD of 750, 414, 84, 702
• GCD of 917, 489, 64, 925
• GCD of 138, 948, 40, 820
• GCD of 772, 698, 23, 435

1. What is the GCD of 200, 140, 44, 668?

GCD of 200, 140, 44, 668 is 4

2. Where do I get the detailed procedure to find GCD of 200, 140, 44, 668?

You can find a detailed procedure to find GCD of 200, 140, 44, 668 on our page.

3. How to find GCD of 200, 140, 44, 668 on a calculator?

You can find the GCD of 200, 140, 44, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.