Online GCD Calculator is useful to find the GCD of 183, 399, 918, 780 quickly. Get the easiest ways to solve the greatest common divisor of 183, 399, 918, 780 i.e 3 in different methods as follows.
Given Input numbers are 183, 399, 918, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (183, 399, 918, 780) = 3.
Given numbers are 183, 399, 918, 780
The list of prime factors of all numbers are
Prime factors of 183 are 3 x 61
Prime factors of 399 are 3 x 7 x 19
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 183, 399, 918, 780 is 3.
Given numbers are 183, 399, 918, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(183, 399) = 24339
GCD(183, 399) = ( 183 x 399 ) / 24339
= 183 / 399
= 183
Step2:
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
= 3 / 918
= 3
Step3:
LCM(3, 780) = 780
GCD(3, 780) = ( 3 x 780 ) / 780
= 3 / 780
= 3
So, Greatest Common Divisor of 183, 399, 918, 780 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 183, 399, 918, 780
The greatest common divisor of numbers 183, 399, 918, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 183, 399, 918, 780 is 3.
1. What is the GCD of 183, 399, 918, 780?
GCD of given numbers 183, 399, 918, 780 is 3
2. How to calculate the greatest common divisor of 183, 399, 918, 780?
We can find the highest common divisor of 183, 399, 918, 780 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 183, 399, 918, 780 i.e 3.
3. How can I use the GCD of 183, 399, 918, 780Calculator?
Out the numbers 183, 399, 918, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.