Online GCD Calculator is useful to find the GCD of 614, 734, 702, 316 quickly. Get the easiest ways to solve the greatest common divisor of 614, 734, 702, 316 i.e 2 in different methods as follows.
Given Input numbers are 614, 734, 702, 316
In the factoring method, we have to find the divisors of all numbers
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
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 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (614, 734, 702, 316) = 2.
Given numbers are 614, 734, 702, 316
The list of prime factors of all numbers are
Prime factors of 614 are 2 x 307
Prime factors of 734 are 2 x 367
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 316 are 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 614, 734, 702, 316 is 2.
Given numbers are 614, 734, 702, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(614, 734) = 225338
GCD(614, 734) = ( 614 x 734 ) / 225338
= 614 / 734
= 614
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
So, Greatest Common Divisor of 614, 734, 702, 316 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 614, 734, 702, 316
The greatest common divisor of numbers 614, 734, 702, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 734, 702, 316 is 2.
1. What is the GCD of 614, 734, 702, 316?
GCD of given numbers 614, 734, 702, 316 is 2
2. How to calculate the greatest common divisor of 614, 734, 702, 316?
We can find the highest common divisor of 614, 734, 702, 316 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 614, 734, 702, 316 i.e 2.
3. How can I use the GCD of 614, 734, 702, 316Calculator?
Out the numbers 614, 734, 702, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.