GCD of 312, 849, 10, 776 Calculator

Given Input numbers are 312, 849, 10, 776

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 312, 849, 10, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 849, 10, 776 is 1.

Therefore, GCD of numbers 312, 849, 10, 776 is 1

Given Input Data is 312, 849, 10, 776

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 849 is 3 x 283

Prime Factorization of 10 is 2 x 5

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(312, 849) = 88296

GCD(312, 849) = ( 312 x 849 ) / 88296

GCD(312, 849) = 264888 / 88296

GCD(312, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 312, 849, 10, 776 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 632, 16, 631
• GCD of 339, 696, 66, 162
• GCD of 803, 129, 15, 800
• GCD of 671, 446, 94, 763
• GCD of 445, 119, 17, 324

1. What is the GCD of 312, 849, 10, 776?

GCD of 312, 849, 10, 776 is 1

2. Where do I get the detailed procedure to find GCD of 312, 849, 10, 776?

You can find a detailed procedure to find GCD of 312, 849, 10, 776 on our page.

3. How to find GCD of 312, 849, 10, 776 on a calculator?

You can find the GCD of 312, 849, 10, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.