GCD of 420, 116, 91, 259 Calculator

Given Input numbers are 420, 116, 91, 259

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 420, 116, 91, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 116, 91, 259 is 1.

Therefore, GCD of numbers 420, 116, 91, 259 is 1

Given Input Data is 420, 116, 91, 259

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 91 is 7 x 13

Prime Factorization of 259 is 7 x 37

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(420, 116) = 12180

GCD(420, 116) = ( 420 x 116 ) / 12180

GCD(420, 116) = 48720 / 12180

GCD(420, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 91

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

LCM(4, 91) = 364

GCD(4, 91) = ( 4 x 91 ) / 364

GCD(4, 91) = 364 / 364

GCD(4, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 420, 116, 91, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 420, 48, 505
• GCD of 769, 684, 42, 655
• GCD of 509, 663, 44, 651
• GCD of 964, 644, 13, 988
• GCD of 368, 868, 60, 861

1. What is the GCD of 420, 116, 91, 259?

GCD of 420, 116, 91, 259 is 1

2. Where do I get the detailed procedure to find GCD of 420, 116, 91, 259?

You can find a detailed procedure to find GCD of 420, 116, 91, 259 on our page.

3. How to find GCD of 420, 116, 91, 259 on a calculator?

You can find the GCD of 420, 116, 91, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.