Online GCD Calculator is useful to find the GCD of 708, 340, 794, 116 quickly. Get the easiest ways to solve the greatest common divisor of 708, 340, 794, 116 i.e 2 in different methods as follows.
Given Input numbers are 708, 340, 794, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (708, 340, 794, 116) = 2.
Given numbers are 708, 340, 794, 116
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 794 are 2 x 397
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 708, 340, 794, 116 is 2.
Given numbers are 708, 340, 794, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 340) = 60180
GCD(708, 340) = ( 708 x 340 ) / 60180
= 708 / 340
= 708
Step2:
LCM(4, 794) = 1588
GCD(4, 794) = ( 4 x 794 ) / 1588
= 4 / 794
= 4
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 708, 340, 794, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 340, 794, 116
The greatest common divisor of numbers 708, 340, 794, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 340, 794, 116 is 2.
1. What is the GCD of 708, 340, 794, 116?
GCD of given numbers 708, 340, 794, 116 is 2
2. How to calculate the greatest common divisor of 708, 340, 794, 116?
We can find the highest common divisor of 708, 340, 794, 116 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 708, 340, 794, 116 i.e 2.
3. How can I use the GCD of 708, 340, 794, 116Calculator?
Out the numbers 708, 340, 794, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.