Online GCD Calculator is useful to find the GCD of 390, 921, 150, 222 quickly. Get the easiest ways to solve the greatest common divisor of 390, 921, 150, 222 i.e 3 in different methods as follows.
Given Input numbers are 390, 921, 150, 222
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (390, 921, 150, 222) = 3.
Given numbers are 390, 921, 150, 222
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 921 are 3 x 307
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 390, 921, 150, 222 is 3.
Given numbers are 390, 921, 150, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 921) = 119730
GCD(390, 921) = ( 390 x 921 ) / 119730
= 390 / 921
= 390
Step2:
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
= 3 / 150
= 3
Step3:
LCM(3, 222) = 222
GCD(3, 222) = ( 3 x 222 ) / 222
= 3 / 222
= 3
So, Greatest Common Divisor of 390, 921, 150, 222 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 921, 150, 222
The greatest common divisor of numbers 390, 921, 150, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 921, 150, 222 is 3.
1. What is the GCD of 390, 921, 150, 222?
GCD of given numbers 390, 921, 150, 222 is 3
2. How to calculate the greatest common divisor of 390, 921, 150, 222?
We can find the highest common divisor of 390, 921, 150, 222 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 390, 921, 150, 222 i.e 3.
3. How can I use the GCD of 390, 921, 150, 222Calculator?
Out the numbers 390, 921, 150, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.