GCD of 76, 730, 407, 526 Calculator

Given Input numbers are 76, 730, 407, 526

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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 76, 730, 407, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 730, 407, 526 is 1.

Therefore, GCD of numbers 76, 730, 407, 526 is 1

Given Input Data is 76, 730, 407, 526

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 407 is 11 x 37

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(76, 730) = 27740

GCD(76, 730) = ( 76 x 730 ) / 27740

GCD(76, 730) = 55480 / 27740

GCD(76, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 76, 730, 407, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 439, 169, 131
• GCD of 15, 356, 440, 748
• GCD of 22, 873, 383, 722
• GCD of 86, 183, 970, 292
• GCD of 83, 702, 674, 612

1. What is the GCD of 76, 730, 407, 526?

GCD of 76, 730, 407, 526 is 1

2. Where do I get the detailed procedure to find GCD of 76, 730, 407, 526?

You can find a detailed procedure to find GCD of 76, 730, 407, 526 on our page.

3. How to find GCD of 76, 730, 407, 526 on a calculator?

You can find the GCD of 76, 730, 407, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.