GCD of 514, 490, 71, 400 Calculator

Given Input numbers are 514, 490, 71, 400

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 514, 490, 71, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 490, 71, 400 is 1.

Therefore, GCD of numbers 514, 490, 71, 400 is 1

Given Input Data is 514, 490, 71, 400

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 71 is 71

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

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(514, 490) = 125930

GCD(514, 490) = ( 514 x 490 ) / 125930

GCD(514, 490) = 251860 / 125930

GCD(514, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 514, 490, 71, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 409, 85, 977
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• GCD of 191, 956, 91, 919
• GCD of 664, 911, 73, 809

1. What is the GCD of 514, 490, 71, 400?

GCD of 514, 490, 71, 400 is 1

2. Where do I get the detailed procedure to find GCD of 514, 490, 71, 400?

You can find a detailed procedure to find GCD of 514, 490, 71, 400 on our page.

3. How to find GCD of 514, 490, 71, 400 on a calculator?

You can find the GCD of 514, 490, 71, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.