Online GCD Calculator is useful to find the GCD of 746, 314, 732, 684 quickly. Get the easiest ways to solve the greatest common divisor of 746, 314, 732, 684 i.e 2 in different methods as follows.
Given Input numbers are 746, 314, 732, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (746, 314, 732, 684) = 2.
Given numbers are 746, 314, 732, 684
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 314 are 2 x 157
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 746, 314, 732, 684 is 2.
Given numbers are 746, 314, 732, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 314) = 117122
GCD(746, 314) = ( 746 x 314 ) / 117122
= 746 / 314
= 746
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
So, Greatest Common Divisor of 746, 314, 732, 684 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 314, 732, 684
The greatest common divisor of numbers 746, 314, 732, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 314, 732, 684 is 2.
1. What is the GCD of 746, 314, 732, 684?
GCD of given numbers 746, 314, 732, 684 is 2
2. How to calculate the greatest common divisor of 746, 314, 732, 684?
We can find the highest common divisor of 746, 314, 732, 684 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 746, 314, 732, 684 i.e 2.
3. How can I use the GCD of 746, 314, 732, 684Calculator?
Out the numbers 746, 314, 732, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.