GCD of 43, 240, 919, 421 Calculator

Given Input numbers are 43, 240, 919, 421

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 43, 240, 919, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 240, 919, 421 is 1.

Therefore, GCD of numbers 43, 240, 919, 421 is 1

Given Input Data is 43, 240, 919, 421

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

Prime Factorization of 43 is 43

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 919 is 919

Prime Factorization of 421 is 421

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(43, 240) = 10320

GCD(43, 240) = ( 43 x 240 ) / 10320

GCD(43, 240) = 10320 / 10320

GCD(43, 240) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 43, 240, 919, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 640, 315, 249
• GCD of 44, 132, 863, 303
• GCD of 98, 432, 940, 858
• GCD of 89, 105, 838, 938
• GCD of 59, 276, 555, 360

1. What is the GCD of 43, 240, 919, 421?

GCD of 43, 240, 919, 421 is 1

2. Where do I get the detailed procedure to find GCD of 43, 240, 919, 421?

You can find a detailed procedure to find GCD of 43, 240, 919, 421 on our page.

3. How to find GCD of 43, 240, 919, 421 on a calculator?

You can find the GCD of 43, 240, 919, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.