Online GCD Calculator is useful to find the GCD of 354, 867, 595, 225 quickly. Get the easiest ways to solve the greatest common divisor of 354, 867, 595, 225 i.e 1 in different methods as follows.
Given Input numbers are 354, 867, 595, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 595 :
The positive integer divisors of 595 that completely divides 595 are.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (354, 867, 595, 225) = 1.
Given numbers are 354, 867, 595, 225
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 867 are 3 x 17 x 17
Prime factors of 595 are 5 x 7 x 17
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 354, 867, 595, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 867) = 102306
GCD(354, 867) = ( 354 x 867 ) / 102306
= 354 / 867
= 354
Step2:
LCM(3, 595) = 1785
GCD(3, 595) = ( 3 x 595 ) / 1785
= 3 / 595
= 3
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 354, 867, 595, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 867, 595, 225
The greatest common divisor of numbers 354, 867, 595, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 867, 595, 225 is 1.
1. What is the GCD of 354, 867, 595, 225?
GCD of given numbers 354, 867, 595, 225 is 1
2. How to calculate the greatest common divisor of 354, 867, 595, 225?
We can find the highest common divisor of 354, 867, 595, 225 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 354, 867, 595, 225 i.e 1.
3. How can I use the GCD of 354, 867, 595, 225Calculator?
Out the numbers 354, 867, 595, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.