Online GCD Calculator is useful to find the GCD of 225, 690, 156, 232 quickly. Get the easiest ways to solve the greatest common divisor of 225, 690, 156, 232 i.e 1 in different methods as follows.
Given Input numbers are 225, 690, 156, 232
In the factoring method, we have to find the divisors of all numbers
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 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 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (225, 690, 156, 232) = 1.
Given numbers are 225, 690, 156, 232
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 232 are 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 690, 156, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 690) = 10350
GCD(225, 690) = ( 225 x 690 ) / 10350
= 225 / 690
= 225
Step2:
LCM(15, 156) = 780
GCD(15, 156) = ( 15 x 156 ) / 780
= 15 / 156
= 15
Step3:
LCM(3, 232) = 696
GCD(3, 232) = ( 3 x 232 ) / 696
= 3 / 232
= 3
So, Greatest Common Divisor of 225, 690, 156, 232 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 690, 156, 232
The greatest common divisor of numbers 225, 690, 156, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 690, 156, 232 is 1.
1. What is the GCD of 225, 690, 156, 232?
GCD of given numbers 225, 690, 156, 232 is 1
2. How to calculate the greatest common divisor of 225, 690, 156, 232?
We can find the highest common divisor of 225, 690, 156, 232 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 225, 690, 156, 232 i.e 1.
3. How can I use the GCD of 225, 690, 156, 232Calculator?
Out the numbers 225, 690, 156, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.