GCD of 530, 400, 35, 788 Calculator

Given Input numbers are 530, 400, 35, 788

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

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 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 530, 400, 35, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 400, 35, 788 is 1.

Therefore, GCD of numbers 530, 400, 35, 788 is 1

Given Input Data is 530, 400, 35, 788

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

Prime Factorization of 530 is 2 x 5 x 53

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 788 is 2 x 2 x 197

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(530, 400) = 21200

GCD(530, 400) = ( 530 x 400 ) / 21200

GCD(530, 400) = 212000 / 21200

GCD(530, 400) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 35

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

LCM(10, 35) = 70

GCD(10, 35) = ( 10 x 35 ) / 70

GCD(10, 35) = 350 / 70

GCD(10, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 788

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

LCM(5, 788) = 3940

GCD(5, 788) = ( 5 x 788 ) / 3940

GCD(5, 788) = 3940 / 3940

GCD(5, 788) = 1

GCD of 530, 400, 35, 788 is 1

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• GCD of 989, 283, 71, 370
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1. What is the GCD of 530, 400, 35, 788?

GCD of 530, 400, 35, 788 is 1

2. Where do I get the detailed procedure to find GCD of 530, 400, 35, 788?

You can find a detailed procedure to find GCD of 530, 400, 35, 788 on our page.

3. How to find GCD of 530, 400, 35, 788 on a calculator?

You can find the GCD of 530, 400, 35, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.