Online GCD Calculator is useful to find the GCD of 425, 105, 45, 634 quickly. Get the easiest ways to solve the greatest common divisor of 425, 105, 45, 634 i.e 1 in different methods as follows.
Given Input numbers are 425, 105, 45, 634
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 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (425, 105, 45, 634) = 1.
Given numbers are 425, 105, 45, 634
The list of prime factors of all numbers are
Prime factors of 425 are 5 x 5 x 17
Prime factors of 105 are 3 x 5 x 7
Prime factors of 45 are 3 x 3 x 5
Prime factors of 634 are 2 x 317
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 425, 105, 45, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(425, 105) = 8925
GCD(425, 105) = ( 425 x 105 ) / 8925
= 425 / 105
= 425
Step2:
LCM(5, 45) = 45
GCD(5, 45) = ( 5 x 45 ) / 45
= 5 / 45
= 5
Step3:
LCM(5, 634) = 3170
GCD(5, 634) = ( 5 x 634 ) / 3170
= 5 / 634
= 5
So, Greatest Common Divisor of 425, 105, 45, 634 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 425, 105, 45, 634
The greatest common divisor of numbers 425, 105, 45, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 425, 105, 45, 634 is 1.
1. What is the GCD of 425, 105, 45, 634?
GCD of given numbers 425, 105, 45, 634 is 1
2. How to calculate the greatest common divisor of 425, 105, 45, 634?
We can find the highest common divisor of 425, 105, 45, 634 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, 105, 45, 634 i.e 1.
3. How can I use the GCD of 425, 105, 45, 634Calculator?
Out the numbers 425, 105, 45, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.