GCD of 74, 264, 527, 182 Calculator

Given Input numbers are 74, 264, 527, 182

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 74, 264, 527, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 264, 527, 182 is 1.

Therefore, GCD of numbers 74, 264, 527, 182 is 1

Given Input Data is 74, 264, 527, 182

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 527 is 17 x 31

Prime Factorization of 182 is 2 x 7 x 13

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(74, 264) = 9768

GCD(74, 264) = ( 74 x 264 ) / 9768

GCD(74, 264) = 19536 / 9768

GCD(74, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 74, 264, 527, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 178, 865, 704
• GCD of 35, 969, 849, 447
• GCD of 51, 680, 727, 597
• GCD of 19, 825, 217, 754
• GCD of 21, 512, 632, 592

1. What is the GCD of 74, 264, 527, 182?

GCD of 74, 264, 527, 182 is 1

2. Where do I get the detailed procedure to find GCD of 74, 264, 527, 182?

You can find a detailed procedure to find GCD of 74, 264, 527, 182 on our page.

3. How to find GCD of 74, 264, 527, 182 on a calculator?

You can find the GCD of 74, 264, 527, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.