Online GCD Calculator is useful to find the GCD of 273, 975, 309, 921 quickly. Get the easiest ways to solve the greatest common divisor of 273, 975, 309, 921 i.e 3 in different methods as follows.
Given Input numbers are 273, 975, 309, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (273, 975, 309, 921) = 3.
Given numbers are 273, 975, 309, 921
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 309 are 3 x 103
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 273, 975, 309, 921 is 3.
Given numbers are 273, 975, 309, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 975) = 6825
GCD(273, 975) = ( 273 x 975 ) / 6825
= 273 / 975
= 273
Step2:
LCM(39, 309) = 4017
GCD(39, 309) = ( 39 x 309 ) / 4017
= 39 / 309
= 39
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 273, 975, 309, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 975, 309, 921
The greatest common divisor of numbers 273, 975, 309, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 975, 309, 921 is 3.
1. What is the GCD of 273, 975, 309, 921?
GCD of given numbers 273, 975, 309, 921 is 3
2. How to calculate the greatest common divisor of 273, 975, 309, 921?
We can find the highest common divisor of 273, 975, 309, 921 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 273, 975, 309, 921 i.e 3.
3. How can I use the GCD of 273, 975, 309, 921Calculator?
Out the numbers 273, 975, 309, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.