Online GCD Calculator is useful to find the GCD of 472, 114, 975, 125 quickly. Get the easiest ways to solve the greatest common divisor of 472, 114, 975, 125 i.e 1 in different methods as follows.
Given Input numbers are 472, 114, 975, 125
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
GCD of numbers is the greatest common divisor
So, the GCD (472, 114, 975, 125) = 1.
Given numbers are 472, 114, 975, 125
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 114 are 2 x 3 x 19
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 125 are 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 472, 114, 975, 125
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 114) = 26904
GCD(472, 114) = ( 472 x 114 ) / 26904
= 472 / 114
= 472
Step2:
LCM(2, 975) = 1950
GCD(2, 975) = ( 2 x 975 ) / 1950
= 2 / 975
= 2
Step3:
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
= 1 / 125
= 1
So, Greatest Common Divisor of 472, 114, 975, 125 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 114, 975, 125
The greatest common divisor of numbers 472, 114, 975, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 114, 975, 125 is 1.
1. What is the GCD of 472, 114, 975, 125?
GCD of given numbers 472, 114, 975, 125 is 1
2. How to calculate the greatest common divisor of 472, 114, 975, 125?
We can find the highest common divisor of 472, 114, 975, 125 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 472, 114, 975, 125 i.e 1.
3. How can I use the GCD of 472, 114, 975, 125Calculator?
Out the numbers 472, 114, 975, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.