Online GCD Calculator is useful to find the GCD of 201, 780, 225, 726 quickly. Get the easiest ways to solve the greatest common divisor of 201, 780, 225, 726 i.e 3 in different methods as follows.
Given Input numbers are 201, 780, 225, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
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
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 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (201, 780, 225, 726) = 3.
Given numbers are 201, 780, 225, 726
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 201, 780, 225, 726 is 3.
Given numbers are 201, 780, 225, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 780) = 52260
GCD(201, 780) = ( 201 x 780 ) / 52260
= 201 / 780
= 201
Step2:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
Step3:
LCM(3, 726) = 726
GCD(3, 726) = ( 3 x 726 ) / 726
= 3 / 726
= 3
So, Greatest Common Divisor of 201, 780, 225, 726 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 780, 225, 726
The greatest common divisor of numbers 201, 780, 225, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 780, 225, 726 is 3.
1. What is the GCD of 201, 780, 225, 726?
GCD of given numbers 201, 780, 225, 726 is 3
2. How to calculate the greatest common divisor of 201, 780, 225, 726?
We can find the highest common divisor of 201, 780, 225, 726 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 201, 780, 225, 726 i.e 3.
3. How can I use the GCD of 201, 780, 225, 726Calculator?
Out the numbers 201, 780, 225, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.