GCD of 286, 336, 77, 448 Calculator

Given Input numbers are 286, 336, 77, 448

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

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 77

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

1, 7, 11, 77

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 286, 336, 77, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 336, 77, 448 is 1.

Therefore, GCD of numbers 286, 336, 77, 448 is 1

Given Input Data is 286, 336, 77, 448

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(286, 336) = 48048

GCD(286, 336) = ( 286 x 336 ) / 48048

GCD(286, 336) = 96096 / 48048

GCD(286, 336) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 286, 336, 77, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 767, 98, 609
• GCD of 349, 905, 44, 721
• GCD of 337, 810, 14, 364
• GCD of 134, 745, 81, 446
• GCD of 648, 673, 40, 192

1. What is the GCD of 286, 336, 77, 448?

GCD of 286, 336, 77, 448 is 1

2. Where do I get the detailed procedure to find GCD of 286, 336, 77, 448?

You can find a detailed procedure to find GCD of 286, 336, 77, 448 on our page.

3. How to find GCD of 286, 336, 77, 448 on a calculator?

You can find the GCD of 286, 336, 77, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.