Online GCD Calculator is useful to find the GCD of 314, 644, 722, 462 quickly. Get the easiest ways to solve the greatest common divisor of 314, 644, 722, 462 i.e 2 in different methods as follows.
Given Input numbers are 314, 644, 722, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (314, 644, 722, 462) = 2.
Given numbers are 314, 644, 722, 462
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 722 are 2 x 19 x 19
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 314, 644, 722, 462 is 2.
Given numbers are 314, 644, 722, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 644) = 101108
GCD(314, 644) = ( 314 x 644 ) / 101108
= 314 / 644
= 314
Step2:
LCM(2, 722) = 722
GCD(2, 722) = ( 2 x 722 ) / 722
= 2 / 722
= 2
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 314, 644, 722, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 644, 722, 462
The greatest common divisor of numbers 314, 644, 722, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 644, 722, 462 is 2.
1. What is the GCD of 314, 644, 722, 462?
GCD of given numbers 314, 644, 722, 462 is 2
2. How to calculate the greatest common divisor of 314, 644, 722, 462?
We can find the highest common divisor of 314, 644, 722, 462 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 314, 644, 722, 462 i.e 2.
3. How can I use the GCD of 314, 644, 722, 462Calculator?
Out the numbers 314, 644, 722, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.