Online GCD Calculator is useful to find the GCD of 120, 975, 172, 286 quickly. Get the easiest ways to solve the greatest common divisor of 120, 975, 172, 286 i.e 1 in different methods as follows.
Given Input numbers are 120, 975, 172, 286
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
GCD of numbers is the greatest common divisor
So, the GCD (120, 975, 172, 286) = 1.
Given numbers are 120, 975, 172, 286
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 172 are 2 x 2 x 43
Prime factors of 286 are 2 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 975, 172, 286
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 975) = 7800
GCD(120, 975) = ( 120 x 975 ) / 7800
= 120 / 975
= 120
Step2:
LCM(15, 172) = 2580
GCD(15, 172) = ( 15 x 172 ) / 2580
= 15 / 172
= 15
Step3:
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
= 1 / 286
= 1
So, Greatest Common Divisor of 120, 975, 172, 286 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 975, 172, 286
The greatest common divisor of numbers 120, 975, 172, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 975, 172, 286 is 1.
1. What is the GCD of 120, 975, 172, 286?
GCD of given numbers 120, 975, 172, 286 is 1
2. How to calculate the greatest common divisor of 120, 975, 172, 286?
We can find the highest common divisor of 120, 975, 172, 286 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 120, 975, 172, 286 i.e 1.
3. How can I use the GCD of 120, 975, 172, 286Calculator?
Out the numbers 120, 975, 172, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.