Online GCD Calculator is useful to find the GCD of 732, 614, 466, 470 quickly. Get the easiest ways to solve the greatest common divisor of 732, 614, 466, 470 i.e 2 in different methods as follows.
Given Input numbers are 732, 614, 466, 470
In the factoring method, we have to find the divisors of all numbers
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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (732, 614, 466, 470) = 2.
Given numbers are 732, 614, 466, 470
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 614 are 2 x 307
Prime factors of 466 are 2 x 233
Prime factors of 470 are 2 x 5 x 47
The highest common occurrence is 21
Therefore, GCD of 732, 614, 466, 470 is 2.
Given numbers are 732, 614, 466, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 614) = 224724
GCD(732, 614) = ( 732 x 614 ) / 224724
= 732 / 614
= 732
Step2:
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
= 2 / 466
= 2
Step3:
LCM(2, 470) = 470
GCD(2, 470) = ( 2 x 470 ) / 470
= 2 / 470
= 2
So, Greatest Common Divisor of 732, 614, 466, 470 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 614, 466, 470
The greatest common divisor of numbers 732, 614, 466, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 614, 466, 470 is 2.
1. What is the GCD of 732, 614, 466, 470?
GCD of given numbers 732, 614, 466, 470 is 2
2. How to calculate the greatest common divisor of 732, 614, 466, 470?
We can find the highest common divisor of 732, 614, 466, 470 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 732, 614, 466, 470 i.e 2.
3. How can I use the GCD of 732, 614, 466, 470Calculator?
Out the numbers 732, 614, 466, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.