Online GCD Calculator is useful to find the GCD of 690, 225, 198, 786 quickly. Get the easiest ways to solve the greatest common divisor of 690, 225, 198, 786 i.e 3 in different methods as follows.
Given Input numbers are 690, 225, 198, 786
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
GCD of numbers is the greatest common divisor
So, the GCD (690, 225, 198, 786) = 3.
Given numbers are 690, 225, 198, 786
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 786 are 2 x 3 x 131
The highest common occurrence is 31
Therefore, GCD of 690, 225, 198, 786 is 3.
Given numbers are 690, 225, 198, 786
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 225) = 10350
GCD(690, 225) = ( 690 x 225 ) / 10350
= 690 / 225
= 690
Step2:
LCM(15, 198) = 990
GCD(15, 198) = ( 15 x 198 ) / 990
= 15 / 198
= 15
Step3:
LCM(3, 786) = 786
GCD(3, 786) = ( 3 x 786 ) / 786
= 3 / 786
= 3
So, Greatest Common Divisor of 690, 225, 198, 786 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 225, 198, 786
The greatest common divisor of numbers 690, 225, 198, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 225, 198, 786 is 3.
1. What is the GCD of 690, 225, 198, 786?
GCD of given numbers 690, 225, 198, 786 is 3
2. How to calculate the greatest common divisor of 690, 225, 198, 786?
We can find the highest common divisor of 690, 225, 198, 786 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 690, 225, 198, 786 i.e 3.
3. How can I use the GCD of 690, 225, 198, 786Calculator?
Out the numbers 690, 225, 198, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.