Online GCD Calculator is useful to find the GCD of 680, 384, 412, 732 quickly. Get the easiest ways to solve the greatest common divisor of 680, 384, 412, 732 i.e 4 in different methods as follows.
Given Input numbers are 680, 384, 412, 732
In the factoring method, we have to find the divisors of all numbers
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 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
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
GCD of numbers is the greatest common divisor
So, the GCD (680, 384, 412, 732) = 4.
Given numbers are 680, 384, 412, 732
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 412 are 2 x 2 x 103
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 22
Therefore, GCD of 680, 384, 412, 732 is 4.
Given numbers are 680, 384, 412, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 384) = 32640
GCD(680, 384) = ( 680 x 384 ) / 32640
= 680 / 384
= 680
Step2:
LCM(8, 412) = 824
GCD(8, 412) = ( 8 x 412 ) / 824
= 8 / 412
= 8
Step3:
LCM(4, 732) = 732
GCD(4, 732) = ( 4 x 732 ) / 732
= 4 / 732
= 4
So, Greatest Common Divisor of 680, 384, 412, 732 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 384, 412, 732
The greatest common divisor of numbers 680, 384, 412, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 384, 412, 732 is 4.
1. What is the GCD of 680, 384, 412, 732?
GCD of given numbers 680, 384, 412, 732 is 4
2. How to calculate the greatest common divisor of 680, 384, 412, 732?
We can find the highest common divisor of 680, 384, 412, 732 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 680, 384, 412, 732 i.e 4.
3. How can I use the GCD of 680, 384, 412, 732Calculator?
Out the numbers 680, 384, 412, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.