Online GCD Calculator is useful to find the GCD of 267, 975, 357, 327 quickly. Get the easiest ways to solve the greatest common divisor of 267, 975, 357, 327 i.e 3 in different methods as follows.
Given Input numbers are 267, 975, 357, 327
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
GCD of numbers is the greatest common divisor
So, the GCD (267, 975, 357, 327) = 3.
Given numbers are 267, 975, 357, 327
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 357 are 3 x 7 x 17
Prime factors of 327 are 3 x 109
The highest common occurrence is 31
Therefore, GCD of 267, 975, 357, 327 is 3.
Given numbers are 267, 975, 357, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 975) = 86775
GCD(267, 975) = ( 267 x 975 ) / 86775
= 267 / 975
= 267
Step2:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
Step3:
LCM(3, 327) = 327
GCD(3, 327) = ( 3 x 327 ) / 327
= 3 / 327
= 3
So, Greatest Common Divisor of 267, 975, 357, 327 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 975, 357, 327
The greatest common divisor of numbers 267, 975, 357, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 975, 357, 327 is 3.
1. What is the GCD of 267, 975, 357, 327?
GCD of given numbers 267, 975, 357, 327 is 3
2. How to calculate the greatest common divisor of 267, 975, 357, 327?
We can find the highest common divisor of 267, 975, 357, 327 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 267, 975, 357, 327 i.e 3.
3. How can I use the GCD of 267, 975, 357, 327Calculator?
Out the numbers 267, 975, 357, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.