Online GCD Calculator is useful to find the GCD of 425, 527, 198, 312 quickly. Get the easiest ways to solve the greatest common divisor of 425, 527, 198, 312 i.e 1 in different methods as follows.
Given Input numbers are 425, 527, 198, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 425 :
The positive integer divisors of 425 that completely divides 425 are.
1, 5, 17, 25, 85, 425
Divisors of 527 :
The positive integer divisors of 527 that completely divides 527 are.
1, 17, 31, 527
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (425, 527, 198, 312) = 1.
Given numbers are 425, 527, 198, 312
The list of prime factors of all numbers are
Prime factors of 425 are 5 x 5 x 17
Prime factors of 527 are 17 x 31
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 425, 527, 198, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(425, 527) = 13175
GCD(425, 527) = ( 425 x 527 ) / 13175
= 425 / 527
= 425
Step2:
LCM(17, 198) = 3366
GCD(17, 198) = ( 17 x 198 ) / 3366
= 17 / 198
= 17
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 425, 527, 198, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 425, 527, 198, 312
The greatest common divisor of numbers 425, 527, 198, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 425, 527, 198, 312 is 1.
1. What is the GCD of 425, 527, 198, 312?
GCD of given numbers 425, 527, 198, 312 is 1
2. How to calculate the greatest common divisor of 425, 527, 198, 312?
We can find the highest common divisor of 425, 527, 198, 312 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 425, 527, 198, 312 i.e 1.
3. How can I use the GCD of 425, 527, 198, 312Calculator?
Out the numbers 425, 527, 198, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.