GCD of 400, 701, 114, 228 Calculator

Given Input numbers are 400, 701, 114, 228

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 400, 701, 114, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 701, 114, 228 is 1.

Therefore, GCD of numbers 400, 701, 114, 228 is 1

Given Input Data is 400, 701, 114, 228

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 701 is 701

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(400, 701) = 280400

GCD(400, 701) = ( 400 x 701 ) / 280400

GCD(400, 701) = 280400 / 280400

GCD(400, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 400, 701, 114, 228 is 1

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• GCD of 684, 719, 890, 270
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1. What is the GCD of 400, 701, 114, 228?

GCD of 400, 701, 114, 228 is 1

2. Where do I get the detailed procedure to find GCD of 400, 701, 114, 228?

You can find a detailed procedure to find GCD of 400, 701, 114, 228 on our page.

3. How to find GCD of 400, 701, 114, 228 on a calculator?

You can find the GCD of 400, 701, 114, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.