GCD of 535, 400, 10, 526 Calculator

Given Input numbers are 535, 400, 10, 526

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 535, 400, 10, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 400, 10, 526 is 1.

Therefore, GCD of numbers 535, 400, 10, 526 is 1

Given Input Data is 535, 400, 10, 526

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

Prime Factorization of 535 is 5 x 107

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 526 is 2 x 263

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(535, 400) = 42800

GCD(535, 400) = ( 535 x 400 ) / 42800

GCD(535, 400) = 214000 / 42800

GCD(535, 400) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 10

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

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

GCD(5, 10) = 50 / 10

GCD(5, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 526

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

LCM(5, 526) = 2630

GCD(5, 526) = ( 5 x 526 ) / 2630

GCD(5, 526) = 2630 / 2630

GCD(5, 526) = 1

GCD of 535, 400, 10, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 297, 99, 639
• GCD of 766, 629, 28, 294
• GCD of 232, 599, 15, 148
• GCD of 646, 727, 34, 820
• GCD of 209, 651, 22, 384

1. What is the GCD of 535, 400, 10, 526?

GCD of 535, 400, 10, 526 is 1

2. Where do I get the detailed procedure to find GCD of 535, 400, 10, 526?

You can find a detailed procedure to find GCD of 535, 400, 10, 526 on our page.

3. How to find GCD of 535, 400, 10, 526 on a calculator?

You can find the GCD of 535, 400, 10, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.