Online GCD Calculator is useful to find the GCD of 612, 888, 804, 987 quickly. Get the easiest ways to solve the greatest common divisor of 612, 888, 804, 987 i.e 3 in different methods as follows.
Given Input numbers are 612, 888, 804, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (612, 888, 804, 987) = 3.
Given numbers are 612, 888, 804, 987
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 987 are 3 x 7 x 47
The highest common occurrence is 31
Therefore, GCD of 612, 888, 804, 987 is 3.
Given numbers are 612, 888, 804, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 888) = 45288
GCD(612, 888) = ( 612 x 888 ) / 45288
= 612 / 888
= 612
Step2:
LCM(12, 804) = 804
GCD(12, 804) = ( 12 x 804 ) / 804
= 12 / 804
= 12
Step3:
LCM(12, 987) = 3948
GCD(12, 987) = ( 12 x 987 ) / 3948
= 12 / 987
= 12
So, Greatest Common Divisor of 612, 888, 804, 987 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 888, 804, 987
The greatest common divisor of numbers 612, 888, 804, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 888, 804, 987 is 3.
1. What is the GCD of 612, 888, 804, 987?
GCD of given numbers 612, 888, 804, 987 is 3
2. How to calculate the greatest common divisor of 612, 888, 804, 987?
We can find the highest common divisor of 612, 888, 804, 987 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 612, 888, 804, 987 i.e 3.
3. How can I use the GCD of 612, 888, 804, 987Calculator?
Out the numbers 612, 888, 804, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.