Online GCD Calculator is useful to find the GCD of 702, 688, 318, 306 quickly. Get the easiest ways to solve the greatest common divisor of 702, 688, 318, 306 i.e 2 in different methods as follows.
Given Input numbers are 702, 688, 318, 306
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 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (702, 688, 318, 306) = 2.
Given numbers are 702, 688, 318, 306
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 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 318 are 2 x 3 x 53
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 702, 688, 318, 306 is 2.
Given numbers are 702, 688, 318, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 688) = 241488
GCD(702, 688) = ( 702 x 688 ) / 241488
= 702 / 688
= 702
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
So, Greatest Common Divisor of 702, 688, 318, 306 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 688, 318, 306
The greatest common divisor of numbers 702, 688, 318, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 688, 318, 306 is 2.
1. What is the GCD of 702, 688, 318, 306?
GCD of given numbers 702, 688, 318, 306 is 2
2. How to calculate the greatest common divisor of 702, 688, 318, 306?
We can find the highest common divisor of 702, 688, 318, 306 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, 688, 318, 306 i.e 2.
3. How can I use the GCD of 702, 688, 318, 306Calculator?
Out the numbers 702, 688, 318, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.