GCD of 400, 297, 414, 929 Calculator

Given Input numbers are 400, 297, 414, 929

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Greatest Common Divisior

We found the divisors of 400, 297, 414, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 297, 414, 929 is 1.

Therefore, GCD of numbers 400, 297, 414, 929 is 1

Given Input Data is 400, 297, 414, 929

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 929 is 929

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, 297) = 118800

GCD(400, 297) = ( 400 x 297 ) / 118800

GCD(400, 297) = 118800 / 118800

GCD(400, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

GCD of 400, 297, 414, 929 is 1

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• GCD of 457, 757, 949, 408
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• GCD of 369, 645, 216, 997

1. What is the GCD of 400, 297, 414, 929?

GCD of 400, 297, 414, 929 is 1

2. Where do I get the detailed procedure to find GCD of 400, 297, 414, 929?

You can find a detailed procedure to find GCD of 400, 297, 414, 929 on our page.

3. How to find GCD of 400, 297, 414, 929 on a calculator?

You can find the GCD of 400, 297, 414, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.