Online GCD Calculator is useful to find the GCD of 680, 382, 792, 106 quickly. Get the easiest ways to solve the greatest common divisor of 680, 382, 792, 106 i.e 2 in different methods as follows.
Given Input numbers are 680, 382, 792, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (680, 382, 792, 106) = 2.
Given numbers are 680, 382, 792, 106
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 382 are 2 x 191
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 106 are 2 x 53
The highest common occurrence is 21
Therefore, GCD of 680, 382, 792, 106 is 2.
Given numbers are 680, 382, 792, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 382) = 129880
GCD(680, 382) = ( 680 x 382 ) / 129880
= 680 / 382
= 680
Step2:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
Step3:
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
= 2 / 106
= 2
So, Greatest Common Divisor of 680, 382, 792, 106 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 382, 792, 106
The greatest common divisor of numbers 680, 382, 792, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 382, 792, 106 is 2.
1. What is the GCD of 680, 382, 792, 106?
GCD of given numbers 680, 382, 792, 106 is 2
2. How to calculate the greatest common divisor of 680, 382, 792, 106?
We can find the highest common divisor of 680, 382, 792, 106 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 680, 382, 792, 106 i.e 2.
3. How can I use the GCD of 680, 382, 792, 106Calculator?
Out the numbers 680, 382, 792, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.