GCD of 649, 502, 31, 285 Calculator

Given Input numbers are 649, 502, 31, 285

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 649, 502, 31, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 502, 31, 285 is 1.

Therefore, GCD of numbers 649, 502, 31, 285 is 1

Given Input Data is 649, 502, 31, 285

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 502 is 2 x 251

Prime Factorization of 31 is 31

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(649, 502) = 325798

GCD(649, 502) = ( 649 x 502 ) / 325798

GCD(649, 502) = 325798 / 325798

GCD(649, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 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 649, 502, 31, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 276, 72, 385
• GCD of 500, 219, 57, 960
• GCD of 736, 101, 32, 476
• GCD of 762, 171, 43, 703
• GCD of 727, 504, 67, 213

1. What is the GCD of 649, 502, 31, 285?

GCD of 649, 502, 31, 285 is 1

2. Where do I get the detailed procedure to find GCD of 649, 502, 31, 285?

You can find a detailed procedure to find GCD of 649, 502, 31, 285 on our page.

3. How to find GCD of 649, 502, 31, 285 on a calculator?

You can find the GCD of 649, 502, 31, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.