Online GCD Calculator is useful to find the GCD of 654, 390, 142, 446 quickly. Get the easiest ways to solve the greatest common divisor of 654, 390, 142, 446 i.e 2 in different methods as follows.
Given Input numbers are 654, 390, 142, 446
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
GCD of numbers is the greatest common divisor
So, the GCD (654, 390, 142, 446) = 2.
Given numbers are 654, 390, 142, 446
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 142 are 2 x 71
Prime factors of 446 are 2 x 223
The highest common occurrence is 21
Therefore, GCD of 654, 390, 142, 446 is 2.
Given numbers are 654, 390, 142, 446
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 390) = 42510
GCD(654, 390) = ( 654 x 390 ) / 42510
= 654 / 390
= 654
Step2:
LCM(6, 142) = 426
GCD(6, 142) = ( 6 x 142 ) / 426
= 6 / 142
= 6
Step3:
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
= 2 / 446
= 2
So, Greatest Common Divisor of 654, 390, 142, 446 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 390, 142, 446
The greatest common divisor of numbers 654, 390, 142, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 390, 142, 446 is 2.
1. What is the GCD of 654, 390, 142, 446?
GCD of given numbers 654, 390, 142, 446 is 2
2. How to calculate the greatest common divisor of 654, 390, 142, 446?
We can find the highest common divisor of 654, 390, 142, 446 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 654, 390, 142, 446 i.e 2.
3. How can I use the GCD of 654, 390, 142, 446Calculator?
Out the numbers 654, 390, 142, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.