Online GCD Calculator is useful to find the GCD of 225, 849, 737, 971 quickly. Get the easiest ways to solve the greatest common divisor of 225, 849, 737, 971 i.e 1 in different methods as follows.
Given Input numbers are 225, 849, 737, 971
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 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
GCD of numbers is the greatest common divisor
So, the GCD (225, 849, 737, 971) = 1.
Given numbers are 225, 849, 737, 971
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 849 are 3 x 283
Prime factors of 737 are 11 x 67
Prime factors of 971 are 971
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 849, 737, 971
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 849) = 63675
GCD(225, 849) = ( 225 x 849 ) / 63675
= 225 / 849
= 225
Step2:
LCM(3, 737) = 2211
GCD(3, 737) = ( 3 x 737 ) / 2211
= 3 / 737
= 3
Step3:
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
= 1 / 971
= 1
So, Greatest Common Divisor of 225, 849, 737, 971 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 849, 737, 971
The greatest common divisor of numbers 225, 849, 737, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 849, 737, 971 is 1.
1. What is the GCD of 225, 849, 737, 971?
GCD of given numbers 225, 849, 737, 971 is 1
2. How to calculate the greatest common divisor of 225, 849, 737, 971?
We can find the highest common divisor of 225, 849, 737, 971 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, 849, 737, 971 i.e 1.
3. How can I use the GCD of 225, 849, 737, 971Calculator?
Out the numbers 225, 849, 737, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.