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, 908, 802, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 776, 908, 802, 117 is 1
GCD(776, 908, 802, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 908, 802, 117 is 1
GCD(776, 908, 802, 117) = 1
Given Input numbers are 776, 908, 802, 117
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 776, 908, 802, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 908, 802, 117 is 1.
Therefore, GCD of numbers 776, 908, 802, 117 is 1
Given Input Data is 776, 908, 802, 117
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 908 is 2 x 2 x 227
Prime Factorization of 802 is 2 x 401
Prime Factorization of 117 is 3 x 3 x 13
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, 908) = 176152
GCD(776, 908) = ( 776 x 908 ) / 176152
GCD(776, 908) = 704608 / 176152
GCD(776, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 802) = 1604
GCD(4, 802) = ( 4 x 802 ) / 1604
GCD(4, 802) = 3208 / 1604
GCD(4, 802) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 117) = 234
GCD(2, 117) = ( 2 x 117 ) / 234
GCD(2, 117) = 234 / 234
GCD(2, 117) = 1
GCD of 776, 908, 802, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 908, 802, 117?
GCD of 776, 908, 802, 117 is 1
2. Where do I get the detailed procedure to find GCD of 776, 908, 802, 117?
You can find a detailed procedure to find GCD of 776, 908, 802, 117 on our page.
3. How to find GCD of 776, 908, 802, 117 on a calculator?
You can find the GCD of 776, 908, 802, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.