GCD of 77, 473, 530, 914 Calculator

Given Input numbers are 77, 473, 530, 914

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 77, 473, 530, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 473, 530, 914 is 1.

Therefore, GCD of numbers 77, 473, 530, 914 is 1

Given Input Data is 77, 473, 530, 914

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 473 is 11 x 43

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 914 is 2 x 457

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(77, 473) = 3311

GCD(77, 473) = ( 77 x 473 ) / 3311

GCD(77, 473) = 36421 / 3311

GCD(77, 473) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 530

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

LCM(11, 530) = 5830

GCD(11, 530) = ( 11 x 530 ) / 5830

GCD(11, 530) = 5830 / 5830

GCD(11, 530) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 77, 473, 530, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 849, 797, 466
• GCD of 91, 751, 220, 532
• GCD of 65, 560, 822, 338
• GCD of 25, 442, 245, 728
• GCD of 83, 878, 942, 464

1. What is the GCD of 77, 473, 530, 914?

GCD of 77, 473, 530, 914 is 1

2. Where do I get the detailed procedure to find GCD of 77, 473, 530, 914?

You can find a detailed procedure to find GCD of 77, 473, 530, 914 on our page.

3. How to find GCD of 77, 473, 530, 914 on a calculator?

You can find the GCD of 77, 473, 530, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.