Online GCD Calculator is useful to find the GCD of 873, 672, 102, 990 quickly. Get the easiest ways to solve the greatest common divisor of 873, 672, 102, 990 i.e 3 in different methods as follows.
Given Input numbers are 873, 672, 102, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
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
GCD of numbers is the greatest common divisor
So, the GCD (873, 672, 102, 990) = 3.
Given numbers are 873, 672, 102, 990
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 102 are 2 x 3 x 17
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 873, 672, 102, 990 is 3.
Given numbers are 873, 672, 102, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 672) = 195552
GCD(873, 672) = ( 873 x 672 ) / 195552
= 873 / 672
= 873
Step2:
LCM(3, 102) = 102
GCD(3, 102) = ( 3 x 102 ) / 102
= 3 / 102
= 3
Step3:
LCM(3, 990) = 990
GCD(3, 990) = ( 3 x 990 ) / 990
= 3 / 990
= 3
So, Greatest Common Divisor of 873, 672, 102, 990 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 672, 102, 990
The greatest common divisor of numbers 873, 672, 102, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 672, 102, 990 is 3.
1. What is the GCD of 873, 672, 102, 990?
GCD of given numbers 873, 672, 102, 990 is 3
2. How to calculate the greatest common divisor of 873, 672, 102, 990?
We can find the highest common divisor of 873, 672, 102, 990 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 873, 672, 102, 990 i.e 3.
3. How can I use the GCD of 873, 672, 102, 990Calculator?
Out the numbers 873, 672, 102, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.