GCD of 653, 220, 30, 299 Calculator

Given Input numbers are 653, 220, 30, 299

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 653, 220, 30, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 220, 30, 299 is 1.

Therefore, GCD of numbers 653, 220, 30, 299 is 1

Given Input Data is 653, 220, 30, 299

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

Prime Factorization of 653 is 653

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 299 is 13 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(653, 220) = 143660

GCD(653, 220) = ( 653 x 220 ) / 143660

GCD(653, 220) = 143660 / 143660

GCD(653, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 653, 220, 30, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 835, 27, 948
• GCD of 310, 453, 41, 572
• GCD of 399, 617, 59, 599
• GCD of 236, 319, 12, 135
• GCD of 222, 202, 30, 312

1. What is the GCD of 653, 220, 30, 299?

GCD of 653, 220, 30, 299 is 1

2. Where do I get the detailed procedure to find GCD of 653, 220, 30, 299?

You can find a detailed procedure to find GCD of 653, 220, 30, 299 on our page.

3. How to find GCD of 653, 220, 30, 299 on a calculator?

You can find the GCD of 653, 220, 30, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.