GCD of 75, 637, 513, 458 Calculator

Given Input numbers are 75, 637, 513, 458

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 75, 637, 513, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 637, 513, 458 is 1.

Therefore, GCD of numbers 75, 637, 513, 458 is 1

Given Input Data is 75, 637, 513, 458

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 458 is 2 x 229

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(75, 637) = 47775

GCD(75, 637) = ( 75 x 637 ) / 47775

GCD(75, 637) = 47775 / 47775

GCD(75, 637) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 75, 637, 513, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 229, 591, 512
• GCD of 88, 687, 500, 224
• GCD of 54, 494, 727, 279
• GCD of 17, 293, 886, 284
• GCD of 89, 579, 434, 559

1. What is the GCD of 75, 637, 513, 458?

GCD of 75, 637, 513, 458 is 1

2. Where do I get the detailed procedure to find GCD of 75, 637, 513, 458?

You can find a detailed procedure to find GCD of 75, 637, 513, 458 on our page.

3. How to find GCD of 75, 637, 513, 458 on a calculator?

You can find the GCD of 75, 637, 513, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.