GCD of 77, 413, 286, 235 Calculator

Given Input numbers are 77, 413, 286, 235

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 77, 413, 286, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 413, 286, 235 is 1.

Therefore, GCD of numbers 77, 413, 286, 235 is 1

Given Input Data is 77, 413, 286, 235

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 413 is 7 x 59

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 235 is 5 x 47

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(77, 413) = 4543

GCD(77, 413) = ( 77 x 413 ) / 4543

GCD(77, 413) = 31801 / 4543

GCD(77, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 286

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

LCM(7, 286) = 2002

GCD(7, 286) = ( 7 x 286 ) / 2002

GCD(7, 286) = 2002 / 2002

GCD(7, 286) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 77, 413, 286, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 327, 371, 341
• GCD of 23, 331, 534, 538
• GCD of 46, 641, 414, 978
• GCD of 53, 622, 505, 595
• GCD of 50, 431, 254, 547

1. What is the GCD of 77, 413, 286, 235?

GCD of 77, 413, 286, 235 is 1

2. Where do I get the detailed procedure to find GCD of 77, 413, 286, 235?

You can find a detailed procedure to find GCD of 77, 413, 286, 235 on our page.

3. How to find GCD of 77, 413, 286, 235 on a calculator?

You can find the GCD of 77, 413, 286, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.