Online GCD Calculator is useful to find the GCD of 225, 111, 676, 746 quickly. Get the easiest ways to solve the greatest common divisor of 225, 111, 676, 746 i.e 1 in different methods as follows.
Given Input numbers are 225, 111, 676, 746
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 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (225, 111, 676, 746) = 1.
Given numbers are 225, 111, 676, 746
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 111 are 3 x 37
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 111, 676, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 111) = 8325
GCD(225, 111) = ( 225 x 111 ) / 8325
= 225 / 111
= 225
Step2:
LCM(3, 676) = 2028
GCD(3, 676) = ( 3 x 676 ) / 2028
= 3 / 676
= 3
Step3:
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
= 1 / 746
= 1
So, Greatest Common Divisor of 225, 111, 676, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 111, 676, 746
The greatest common divisor of numbers 225, 111, 676, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 111, 676, 746 is 1.
1. What is the GCD of 225, 111, 676, 746?
GCD of given numbers 225, 111, 676, 746 is 1
2. How to calculate the greatest common divisor of 225, 111, 676, 746?
We can find the highest common divisor of 225, 111, 676, 746 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, 111, 676, 746 i.e 1.
3. How can I use the GCD of 225, 111, 676, 746Calculator?
Out the numbers 225, 111, 676, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.