Online GCD Calculator is useful to find the GCD of 680, 322, 702, 788 quickly. Get the easiest ways to solve the greatest common divisor of 680, 322, 702, 788 i.e 2 in different methods as follows.
Given Input numbers are 680, 322, 702, 788
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (680, 322, 702, 788) = 2.
Given numbers are 680, 322, 702, 788
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 322 are 2 x 7 x 23
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 788 are 2 x 2 x 197
The highest common occurrence is 21
Therefore, GCD of 680, 322, 702, 788 is 2.
Given numbers are 680, 322, 702, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 322) = 109480
GCD(680, 322) = ( 680 x 322 ) / 109480
= 680 / 322
= 680
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
= 2 / 788
= 2
So, Greatest Common Divisor of 680, 322, 702, 788 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 322, 702, 788
The greatest common divisor of numbers 680, 322, 702, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 322, 702, 788 is 2.
1. What is the GCD of 680, 322, 702, 788?
GCD of given numbers 680, 322, 702, 788 is 2
2. How to calculate the greatest common divisor of 680, 322, 702, 788?
We can find the highest common divisor of 680, 322, 702, 788 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, 322, 702, 788 i.e 2.
3. How can I use the GCD of 680, 322, 702, 788Calculator?
Out the numbers 680, 322, 702, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.