Online GCD Calculator is useful to find the GCD of 466, 752, 680, 336 quickly. Get the easiest ways to solve the greatest common divisor of 466, 752, 680, 336 i.e 2 in different methods as follows.
Given Input numbers are 466, 752, 680, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (466, 752, 680, 336) = 2.
Given numbers are 466, 752, 680, 336
The list of prime factors of all numbers are
Prime factors of 466 are 2 x 233
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 466, 752, 680, 336 is 2.
Given numbers are 466, 752, 680, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(466, 752) = 175216
GCD(466, 752) = ( 466 x 752 ) / 175216
= 466 / 752
= 466
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
= 2 / 336
= 2
So, Greatest Common Divisor of 466, 752, 680, 336 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 466, 752, 680, 336
The greatest common divisor of numbers 466, 752, 680, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 752, 680, 336 is 2.
1. What is the GCD of 466, 752, 680, 336?
GCD of given numbers 466, 752, 680, 336 is 2
2. How to calculate the greatest common divisor of 466, 752, 680, 336?
We can find the highest common divisor of 466, 752, 680, 336 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 466, 752, 680, 336 i.e 2.
3. How can I use the GCD of 466, 752, 680, 336Calculator?
Out the numbers 466, 752, 680, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.