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 776, 316, 120, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 776, 316, 120, 335 is 1
GCD(776, 316, 120, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 316, 120, 335 is 1
GCD(776, 316, 120, 335) = 1
Given Input numbers are 776, 316, 120, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 776, 316, 120, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 316, 120, 335 is 1.
Therefore, GCD of numbers 776, 316, 120, 335 is 1
Given Input Data is 776, 316, 120, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 335 is 5 x 67
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(776, 316) = 61304
GCD(776, 316) = ( 776 x 316 ) / 61304
GCD(776, 316) = 245216 / 61304
GCD(776, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 120) = 120
GCD(4, 120) = ( 4 x 120 ) / 120
GCD(4, 120) = 480 / 120
GCD(4, 120) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 335) = 1340
GCD(4, 335) = ( 4 x 335 ) / 1340
GCD(4, 335) = 1340 / 1340
GCD(4, 335) = 1
GCD of 776, 316, 120, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 316, 120, 335?
GCD of 776, 316, 120, 335 is 1
2. Where do I get the detailed procedure to find GCD of 776, 316, 120, 335?
You can find a detailed procedure to find GCD of 776, 316, 120, 335 on our page.
3. How to find GCD of 776, 316, 120, 335 on a calculator?
You can find the GCD of 776, 316, 120, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.