Online GCD Calculator is useful to find the GCD of 288, 378, 918, 870 quickly. Get the easiest ways to solve the greatest common divisor of 288, 378, 918, 870 i.e 6 in different methods as follows.
Given Input numbers are 288, 378, 918, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (288, 378, 918, 870) = 6.
Given numbers are 288, 378, 918, 870
The list of prime factors of all numbers are
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21 x 31
Therefore, GCD of 288, 378, 918, 870 is 6.
Given numbers are 288, 378, 918, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(288, 378) = 6048
GCD(288, 378) = ( 288 x 378 ) / 6048
= 288 / 378
= 288
Step2:
LCM(18, 918) = 918
GCD(18, 918) = ( 18 x 918 ) / 918
= 18 / 918
= 18
Step3:
LCM(18, 870) = 2610
GCD(18, 870) = ( 18 x 870 ) / 2610
= 18 / 870
= 18
So, Greatest Common Divisor of 288, 378, 918, 870 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 288, 378, 918, 870
The greatest common divisor of numbers 288, 378, 918, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 378, 918, 870 is 6.
1. What is the GCD of 288, 378, 918, 870?
GCD of given numbers 288, 378, 918, 870 is 6
2. How to calculate the greatest common divisor of 288, 378, 918, 870?
We can find the highest common divisor of 288, 378, 918, 870 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 288, 378, 918, 870 i.e 6.
3. How can I use the GCD of 288, 378, 918, 870Calculator?
Out the numbers 288, 378, 918, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.