Online GCD Calculator is useful to find the GCD of 716, 114, 168, 462 quickly. Get the easiest ways to solve the greatest common divisor of 716, 114, 168, 462 i.e 2 in different methods as follows.
Given Input numbers are 716, 114, 168, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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 (716, 114, 168, 462) = 2.
Given numbers are 716, 114, 168, 462
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 114 are 2 x 3 x 19
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 716, 114, 168, 462 is 2.
Given numbers are 716, 114, 168, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 114) = 40812
GCD(716, 114) = ( 716 x 114 ) / 40812
= 716 / 114
= 716
Step2:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 716, 114, 168, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 716, 114, 168, 462
The greatest common divisor of numbers 716, 114, 168, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 114, 168, 462 is 2.
1. What is the GCD of 716, 114, 168, 462?
GCD of given numbers 716, 114, 168, 462 is 2
2. How to calculate the greatest common divisor of 716, 114, 168, 462?
We can find the highest common divisor of 716, 114, 168, 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 716, 114, 168, 462 i.e 2.
3. How can I use the GCD of 716, 114, 168, 462Calculator?
Out the numbers 716, 114, 168, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.