GCD of 56, 308, 777, 833 Calculator

Given Input numbers are 56, 308, 777, 833

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 56, 308, 777, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 308, 777, 833 is 7.

Therefore, GCD of numbers 56, 308, 777, 833 is 7

Given Input Data is 56, 308, 777, 833

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 833 is 7 x 7 x 17

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(56, 308) = 616

GCD(56, 308) = ( 56 x 308 ) / 616

GCD(56, 308) = 17248 / 616

GCD(56, 308) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 777

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

LCM(28, 777) = 3108

GCD(28, 777) = ( 28 x 777 ) / 3108

GCD(28, 777) = 21756 / 3108

GCD(28, 777) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 833

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

LCM(7, 833) = 833

GCD(7, 833) = ( 7 x 833 ) / 833

GCD(7, 833) = 5831 / 833

GCD(7, 833) = 7

GCD of 56, 308, 777, 833 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 858, 361, 973
• GCD of 69, 615, 901, 288
• GCD of 98, 601, 852, 578
• GCD of 82, 558, 417, 942
• GCD of 66, 597, 921, 896

1. What is the GCD of 56, 308, 777, 833?

GCD of 56, 308, 777, 833 is 7

2. Where do I get the detailed procedure to find GCD of 56, 308, 777, 833?

You can find a detailed procedure to find GCD of 56, 308, 777, 833 on our page.

3. How to find GCD of 56, 308, 777, 833 on a calculator?

You can find the GCD of 56, 308, 777, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.