Online GCD Calculator is useful to find the GCD of 975, 198, 367, 765 quickly. Get the easiest ways to solve the greatest common divisor of 975, 198, 367, 765 i.e 1 in different methods as follows.
Given Input numbers are 975, 198, 367, 765
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 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 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (975, 198, 367, 765) = 1.
Given numbers are 975, 198, 367, 765
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 367 are 367
Prime factors of 765 are 3 x 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 975, 198, 367, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 198) = 64350
GCD(975, 198) = ( 975 x 198 ) / 64350
= 975 / 198
= 975
Step2:
LCM(3, 367) = 1101
GCD(3, 367) = ( 3 x 367 ) / 1101
= 3 / 367
= 3
Step3:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
So, Greatest Common Divisor of 975, 198, 367, 765 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 198, 367, 765
The greatest common divisor of numbers 975, 198, 367, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 198, 367, 765 is 1.
1. What is the GCD of 975, 198, 367, 765?
GCD of given numbers 975, 198, 367, 765 is 1
2. How to calculate the greatest common divisor of 975, 198, 367, 765?
We can find the highest common divisor of 975, 198, 367, 765 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, 198, 367, 765 i.e 1.
3. How can I use the GCD of 975, 198, 367, 765Calculator?
Out the numbers 975, 198, 367, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.