Online GCD Calculator is useful to find the GCD of 102, 120, 720, 183 quickly. Get the easiest ways to solve the greatest common divisor of 102, 120, 720, 183 i.e 3 in different methods as follows.
Given Input numbers are 102, 120, 720, 183
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
GCD of numbers is the greatest common divisor
So, the GCD (102, 120, 720, 183) = 3.
Given numbers are 102, 120, 720, 183
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 183 are 3 x 61
The highest common occurrence is 31
Therefore, GCD of 102, 120, 720, 183 is 3.
Given numbers are 102, 120, 720, 183
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 120) = 2040
GCD(102, 120) = ( 102 x 120 ) / 2040
= 102 / 120
= 102
Step2:
LCM(6, 720) = 720
GCD(6, 720) = ( 6 x 720 ) / 720
= 6 / 720
= 6
Step3:
LCM(6, 183) = 366
GCD(6, 183) = ( 6 x 183 ) / 366
= 6 / 183
= 6
So, Greatest Common Divisor of 102, 120, 720, 183 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 102, 120, 720, 183
The greatest common divisor of numbers 102, 120, 720, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 120, 720, 183 is 3.
1. What is the GCD of 102, 120, 720, 183?
GCD of given numbers 102, 120, 720, 183 is 3
2. How to calculate the greatest common divisor of 102, 120, 720, 183?
We can find the highest common divisor of 102, 120, 720, 183 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 102, 120, 720, 183 i.e 3.
3. How can I use the GCD of 102, 120, 720, 183Calculator?
Out the numbers 102, 120, 720, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.