GCD of 649, 830, 486, 253 Calculator

Given Input numbers are 649, 830, 486, 253

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 649, 830, 486, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 830, 486, 253 is 1.

Therefore, GCD of numbers 649, 830, 486, 253 is 1

Given Input Data is 649, 830, 486, 253

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 253 is 11 x 23

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, 830) = 538670

GCD(649, 830) = ( 649 x 830 ) / 538670

GCD(649, 830) = 538670 / 538670

GCD(649, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 649, 830, 486, 253 is 1

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1. What is the GCD of 649, 830, 486, 253?

GCD of 649, 830, 486, 253 is 1

2. Where do I get the detailed procedure to find GCD of 649, 830, 486, 253?

You can find a detailed procedure to find GCD of 649, 830, 486, 253 on our page.

3. How to find GCD of 649, 830, 486, 253 on a calculator?

You can find the GCD of 649, 830, 486, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.