Online GCD Calculator is useful to find the GCD of 921, 183, 189, 465 quickly. Get the easiest ways to solve the greatest common divisor of 921, 183, 189, 465 i.e 3 in different methods as follows.
Given Input numbers are 921, 183, 189, 465
In the factoring method, we have to find the divisors of all numbers
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
GCD of numbers is the greatest common divisor
So, the GCD (921, 183, 189, 465) = 3.
Given numbers are 921, 183, 189, 465
The list of prime factors of all numbers are
Prime factors of 921 are 3 x 307
Prime factors of 183 are 3 x 61
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 465 are 3 x 5 x 31
The highest common occurrence is 31
Therefore, GCD of 921, 183, 189, 465 is 3.
Given numbers are 921, 183, 189, 465
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(921, 183) = 56181
GCD(921, 183) = ( 921 x 183 ) / 56181
= 921 / 183
= 921
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
Step3:
LCM(3, 465) = 465
GCD(3, 465) = ( 3 x 465 ) / 465
= 3 / 465
= 3
So, Greatest Common Divisor of 921, 183, 189, 465 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 921, 183, 189, 465
The greatest common divisor of numbers 921, 183, 189, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 183, 189, 465 is 3.
1. What is the GCD of 921, 183, 189, 465?
GCD of given numbers 921, 183, 189, 465 is 3
2. How to calculate the greatest common divisor of 921, 183, 189, 465?
We can find the highest common divisor of 921, 183, 189, 465 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 921, 183, 189, 465 i.e 3.
3. How can I use the GCD of 921, 183, 189, 465Calculator?
Out the numbers 921, 183, 189, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.