Online GCD Calculator is useful to find the GCD of 796, 316, 774, 220 quickly. Get the easiest ways to solve the greatest common divisor of 796, 316, 774, 220 i.e 2 in different methods as follows.
Given Input numbers are 796, 316, 774, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (796, 316, 774, 220) = 2.
Given numbers are 796, 316, 774, 220
The list of prime factors of all numbers are
Prime factors of 796 are 2 x 2 x 199
Prime factors of 316 are 2 x 2 x 79
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 796, 316, 774, 220 is 2.
Given numbers are 796, 316, 774, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(796, 316) = 62884
GCD(796, 316) = ( 796 x 316 ) / 62884
= 796 / 316
= 796
Step2:
LCM(4, 774) = 1548
GCD(4, 774) = ( 4 x 774 ) / 1548
= 4 / 774
= 4
Step3:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
So, Greatest Common Divisor of 796, 316, 774, 220 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 796, 316, 774, 220
The greatest common divisor of numbers 796, 316, 774, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 316, 774, 220 is 2.
1. What is the GCD of 796, 316, 774, 220?
GCD of given numbers 796, 316, 774, 220 is 2
2. How to calculate the greatest common divisor of 796, 316, 774, 220?
We can find the highest common divisor of 796, 316, 774, 220 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 796, 316, 774, 220 i.e 2.
3. How can I use the GCD of 796, 316, 774, 220Calculator?
Out the numbers 796, 316, 774, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.