Online GCD Calculator is useful to find the GCD of 702, 312, 845 quickly. Get the easiest ways to solve the greatest common divisor of 702, 312, 845 i.e 13 in different methods as follows.
Given Input numbers are 702, 312, 845
In the factoring method, we have to find the divisors of all numbers
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 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 845 :
The positive integer divisors of 845 that completely divides 845 are.
1, 5, 13, 65, 169, 845
GCD of numbers is the greatest common divisor
So, the GCD (702, 312, 845) = 13.
Given numbers are 702, 312, 845
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 845 are 5 x 13 x 13
The highest common occurrence is 131
Therefore, GCD of 702, 312, 845 is 13.
Given numbers are 702, 312, 845
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 312) = 2808
GCD(702, 312) = ( 702 x 312 ) / 2808
= 702 / 312
= 702
Step2:
LCM(78, 845) = 5070
GCD(78, 845) = ( 78 x 845 ) / 5070
= 78 / 845
= 78
So, Greatest Common Divisor of 702, 312, 845 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 312, 845
The greatest common divisor of numbers 702, 312, 845 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 312, 845 is 13.
1. What is the GCD of 702, 312, 845?
GCD of given numbers 702, 312, 845 is 13
2. How to calculate the greatest common divisor of 702, 312, 845?
We can find the highest common divisor of 702, 312, 845 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 702, 312, 845 i.e 13.
3. How can I use the GCD of 702, 312, 845Calculator?
Out the numbers 702, 312, 845 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.