GCD of 77, 286, 214, 408 Calculator

Given Input numbers are 77, 286, 214, 408

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 286

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

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 77, 286, 214, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 286, 214, 408 is 1.

Therefore, GCD of numbers 77, 286, 214, 408 is 1

Given Input Data is 77, 286, 214, 408

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 214 is 2 x 107

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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, 286) = 2002

GCD(77, 286) = ( 77 x 286 ) / 2002

GCD(77, 286) = 22022 / 2002

GCD(77, 286) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 214

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

LCM(11, 214) = 2354

GCD(11, 214) = ( 11 x 214 ) / 2354

GCD(11, 214) = 2354 / 2354

GCD(11, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 77, 286, 214, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 182, 964, 465
• GCD of 68, 507, 203, 407
• GCD of 93, 841, 914, 277
• GCD of 30, 356, 905, 799
• GCD of 99, 134, 857, 500

1. What is the GCD of 77, 286, 214, 408?

GCD of 77, 286, 214, 408 is 1

2. Where do I get the detailed procedure to find GCD of 77, 286, 214, 408?

You can find a detailed procedure to find GCD of 77, 286, 214, 408 on our page.

3. How to find GCD of 77, 286, 214, 408 on a calculator?

You can find the GCD of 77, 286, 214, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.