GCD of 700, 476, 441, 188 Calculator

Given Input numbers are 700, 476, 441, 188

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 700, 476, 441, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 476, 441, 188 is 1.

Therefore, GCD of numbers 700, 476, 441, 188 is 1

Given Input Data is 700, 476, 441, 188

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 188 is 2 x 2 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(700, 476) = 11900

GCD(700, 476) = ( 700 x 476 ) / 11900

GCD(700, 476) = 333200 / 11900

GCD(700, 476) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 441

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

LCM(28, 441) = 1764

GCD(28, 441) = ( 28 x 441 ) / 1764

GCD(28, 441) = 12348 / 1764

GCD(28, 441) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 188

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

LCM(7, 188) = 1316

GCD(7, 188) = ( 7 x 188 ) / 1316

GCD(7, 188) = 1316 / 1316

GCD(7, 188) = 1

GCD of 700, 476, 441, 188 is 1

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1. What is the GCD of 700, 476, 441, 188?

GCD of 700, 476, 441, 188 is 1

2. Where do I get the detailed procedure to find GCD of 700, 476, 441, 188?

You can find a detailed procedure to find GCD of 700, 476, 441, 188 on our page.

3. How to find GCD of 700, 476, 441, 188 on a calculator?

You can find the GCD of 700, 476, 441, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.