Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 312, 849, 10, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 849, 10, 776 is 1
GCD(312, 849, 10, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 849, 10, 776 is 1
GCD(312, 849, 10, 776) = 1
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.
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.