GCD of 462, 989, 253 Calculator

Given Input numbers are 462, 989, 253

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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 462, 989, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 989, 253 is 1.

Therefore, GCD of numbers 462, 989, 253 is 1

Given Input Data is 462, 989, 253

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 989 is 23 x 43

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(462, 989) = 456918

GCD(462, 989) = ( 462 x 989 ) / 456918

GCD(462, 989) = 456918 / 456918

GCD(462, 989) = 1

Step2:

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 462, 989, 253 is 1

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1. What is the GCD of 462, 989, 253?

GCD of 462, 989, 253 is 1

2. Where do I get the detailed procedure to find GCD of 462, 989, 253?

You can find a detailed procedure to find GCD of 462, 989, 253 on our page.

3. How to find GCD of 462, 989, 253 on a calculator?

You can find the GCD of 462, 989, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.