GCD of 24, 707, 220, 409 Calculator

Given Input numbers are 24, 707, 220, 409

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 24, 707, 220, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 707, 220, 409 is 1.

Therefore, GCD of numbers 24, 707, 220, 409 is 1

Given Input Data is 24, 707, 220, 409

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 409 is 409

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(24, 707) = 16968

GCD(24, 707) = ( 24 x 707 ) / 16968

GCD(24, 707) = 16968 / 16968

GCD(24, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 24, 707, 220, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 874, 250, 927
• GCD of 14, 486, 433, 869
• GCD of 20, 624, 959, 261
• GCD of 18, 295, 129, 561
• GCD of 30, 622, 261, 183

1. What is the GCD of 24, 707, 220, 409?

GCD of 24, 707, 220, 409 is 1

2. Where do I get the detailed procedure to find GCD of 24, 707, 220, 409?

You can find a detailed procedure to find GCD of 24, 707, 220, 409 on our page.

3. How to find GCD of 24, 707, 220, 409 on a calculator?

You can find the GCD of 24, 707, 220, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.