Online GCD Calculator is useful to find the GCD of 642, 108, 180, 192 quickly. Get the easiest ways to solve the greatest common divisor of 642, 108, 180, 192 i.e 6 in different methods as follows.
Given Input numbers are 642, 108, 180, 192
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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
GCD of numbers is the greatest common divisor
So, the GCD (642, 108, 180, 192) = 6.
Given numbers are 642, 108, 180, 192
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 642, 108, 180, 192 is 6.
Given numbers are 642, 108, 180, 192
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 108) = 11556
GCD(642, 108) = ( 642 x 108 ) / 11556
= 642 / 108
= 642
Step2:
LCM(6, 180) = 180
GCD(6, 180) = ( 6 x 180 ) / 180
= 6 / 180
= 6
Step3:
LCM(6, 192) = 192
GCD(6, 192) = ( 6 x 192 ) / 192
= 6 / 192
= 6
So, Greatest Common Divisor of 642, 108, 180, 192 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 108, 180, 192
The greatest common divisor of numbers 642, 108, 180, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 108, 180, 192 is 6.
1. What is the GCD of 642, 108, 180, 192?
GCD of given numbers 642, 108, 180, 192 is 6
2. How to calculate the greatest common divisor of 642, 108, 180, 192?
We can find the highest common divisor of 642, 108, 180, 192 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 642, 108, 180, 192 i.e 6.
3. How can I use the GCD of 642, 108, 180, 192Calculator?
Out the numbers 642, 108, 180, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.