Online GCD Calculator is useful to find the GCD of 168, 186, 753, 645 quickly. Get the easiest ways to solve the greatest common divisor of 168, 186, 753, 645 i.e 3 in different methods as follows.
Given Input numbers are 168, 186, 753, 645
In the factoring method, we have to find the divisors of all numbers
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 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (168, 186, 753, 645) = 3.
Given numbers are 168, 186, 753, 645
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 186 are 2 x 3 x 31
Prime factors of 753 are 3 x 251
Prime factors of 645 are 3 x 5 x 43
The highest common occurrence is 31
Therefore, GCD of 168, 186, 753, 645 is 3.
Given numbers are 168, 186, 753, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 186) = 5208
GCD(168, 186) = ( 168 x 186 ) / 5208
= 168 / 186
= 168
Step2:
LCM(6, 753) = 1506
GCD(6, 753) = ( 6 x 753 ) / 1506
= 6 / 753
= 6
Step3:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
So, Greatest Common Divisor of 168, 186, 753, 645 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 186, 753, 645
The greatest common divisor of numbers 168, 186, 753, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 186, 753, 645 is 3.
1. What is the GCD of 168, 186, 753, 645?
GCD of given numbers 168, 186, 753, 645 is 3
2. How to calculate the greatest common divisor of 168, 186, 753, 645?
We can find the highest common divisor of 168, 186, 753, 645 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 168, 186, 753, 645 i.e 3.
3. How can I use the GCD of 168, 186, 753, 645Calculator?
Out the numbers 168, 186, 753, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.