Online GCD Calculator is useful to find the GCD of 310, 672, 990, 609 quickly. Get the easiest ways to solve the greatest common divisor of 310, 672, 990, 609 i.e 1 in different methods as follows.
Given Input numbers are 310, 672, 990, 609
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
GCD of numbers is the greatest common divisor
So, the GCD (310, 672, 990, 609) = 1.
Given numbers are 310, 672, 990, 609
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 609 are 3 x 7 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 310, 672, 990, 609
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 672) = 104160
GCD(310, 672) = ( 310 x 672 ) / 104160
= 310 / 672
= 310
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
Step3:
LCM(2, 609) = 1218
GCD(2, 609) = ( 2 x 609 ) / 1218
= 2 / 609
= 2
So, Greatest Common Divisor of 310, 672, 990, 609 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 672, 990, 609
The greatest common divisor of numbers 310, 672, 990, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 672, 990, 609 is 1.
1. What is the GCD of 310, 672, 990, 609?
GCD of given numbers 310, 672, 990, 609 is 1
2. How to calculate the greatest common divisor of 310, 672, 990, 609?
We can find the highest common divisor of 310, 672, 990, 609 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 310, 672, 990, 609 i.e 1.
3. How can I use the GCD of 310, 672, 990, 609Calculator?
Out the numbers 310, 672, 990, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.