Online GCD Calculator is useful to find the GCD of 914, 426, 731, 225 quickly. Get the easiest ways to solve the greatest common divisor of 914, 426, 731, 225 i.e 1 in different methods as follows.
Given Input numbers are 914, 426, 731, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
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 (914, 426, 731, 225) = 1.
Given numbers are 914, 426, 731, 225
The list of prime factors of all numbers are
Prime factors of 914 are 2 x 457
Prime factors of 426 are 2 x 3 x 71
Prime factors of 731 are 17 x 43
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 914, 426, 731, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(914, 426) = 194682
GCD(914, 426) = ( 914 x 426 ) / 194682
= 914 / 426
= 914
Step2:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 914, 426, 731, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 914, 426, 731, 225
The greatest common divisor of numbers 914, 426, 731, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 426, 731, 225 is 1.
1. What is the GCD of 914, 426, 731, 225?
GCD of given numbers 914, 426, 731, 225 is 1
2. How to calculate the greatest common divisor of 914, 426, 731, 225?
We can find the highest common divisor of 914, 426, 731, 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 914, 426, 731, 225 i.e 1.
3. How can I use the GCD of 914, 426, 731, 225Calculator?
Out the numbers 914, 426, 731, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.