GCD of 752, 464, 49, 285 Calculator

Given Input numbers are 752, 464, 49, 285

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 752, 464, 49, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 464, 49, 285 is 1.

Therefore, GCD of numbers 752, 464, 49, 285 is 1

Given Input Data is 752, 464, 49, 285

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 49 is 7 x 7

Prime Factorization of 285 is 3 x 5 x 19

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(752, 464) = 21808

GCD(752, 464) = ( 752 x 464 ) / 21808

GCD(752, 464) = 348928 / 21808

GCD(752, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 49

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

LCM(16, 49) = 784

GCD(16, 49) = ( 16 x 49 ) / 784

GCD(16, 49) = 784 / 784

GCD(16, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 752, 464, 49, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 178, 34, 584
• GCD of 116, 262, 98, 873
• GCD of 390, 378, 11, 108
• GCD of 871, 333, 74, 148
• GCD of 988, 839, 48, 691

1. What is the GCD of 752, 464, 49, 285?

GCD of 752, 464, 49, 285 is 1

2. Where do I get the detailed procedure to find GCD of 752, 464, 49, 285?

You can find a detailed procedure to find GCD of 752, 464, 49, 285 on our page.

3. How to find GCD of 752, 464, 49, 285 on a calculator?

You can find the GCD of 752, 464, 49, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.