Online GCD Calculator is useful to find the GCD of 975, 747, 186 quickly. Get the easiest ways to solve the greatest common divisor of 975, 747, 186 i.e 3 in different methods as follows.
Given Input numbers are 975, 747, 186
In the factoring method, we have to find the divisors of all numbers
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 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
GCD of numbers is the greatest common divisor
So, the GCD (975, 747, 186) = 3.
Given numbers are 975, 747, 186
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 747 are 3 x 3 x 83
Prime factors of 186 are 2 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 975, 747, 186 is 3.
Given numbers are 975, 747, 186
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 747) = 242775
GCD(975, 747) = ( 975 x 747 ) / 242775
= 975 / 747
= 975
Step2:
LCM(3, 186) = 186
GCD(3, 186) = ( 3 x 186 ) / 186
= 3 / 186
= 3
So, Greatest Common Divisor of 975, 747, 186 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 747, 186
The greatest common divisor of numbers 975, 747, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 747, 186 is 3.
1. What is the GCD of 975, 747, 186?
GCD of given numbers 975, 747, 186 is 3
2. How to calculate the greatest common divisor of 975, 747, 186?
We can find the highest common divisor of 975, 747, 186 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 975, 747, 186 i.e 3.
3. How can I use the GCD of 975, 747, 186Calculator?
Out the numbers 975, 747, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.