Online GCD Calculator is useful to find the GCD of 732, 192, 170, 682 quickly. Get the easiest ways to solve the greatest common divisor of 732, 192, 170, 682 i.e 2 in different methods as follows.
Given Input numbers are 732, 192, 170, 682
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 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (732, 192, 170, 682) = 2.
Given numbers are 732, 192, 170, 682
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 170 are 2 x 5 x 17
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 732, 192, 170, 682 is 2.
Given numbers are 732, 192, 170, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 192) = 11712
GCD(732, 192) = ( 732 x 192 ) / 11712
= 732 / 192
= 732
Step2:
LCM(12, 170) = 1020
GCD(12, 170) = ( 12 x 170 ) / 1020
= 12 / 170
= 12
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 732, 192, 170, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 192, 170, 682
The greatest common divisor of numbers 732, 192, 170, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 192, 170, 682 is 2.
1. What is the GCD of 732, 192, 170, 682?
GCD of given numbers 732, 192, 170, 682 is 2
2. How to calculate the greatest common divisor of 732, 192, 170, 682?
We can find the highest common divisor of 732, 192, 170, 682 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, 192, 170, 682 i.e 2.
3. How can I use the GCD of 732, 192, 170, 682Calculator?
Out the numbers 732, 192, 170, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.