Online GCD Calculator is useful to find the GCD of 308, 888, 870, 160 quickly. Get the easiest ways to solve the greatest common divisor of 308, 888, 870, 160 i.e 2 in different methods as follows.
Given Input numbers are 308, 888, 870, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 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
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (308, 888, 870, 160) = 2.
Given numbers are 308, 888, 870, 160
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 308, 888, 870, 160 is 2.
Given numbers are 308, 888, 870, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 888) = 68376
GCD(308, 888) = ( 308 x 888 ) / 68376
= 308 / 888
= 308
Step2:
LCM(4, 870) = 1740
GCD(4, 870) = ( 4 x 870 ) / 1740
= 4 / 870
= 4
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 308, 888, 870, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 888, 870, 160
The greatest common divisor of numbers 308, 888, 870, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 888, 870, 160 is 2.
1. What is the GCD of 308, 888, 870, 160?
GCD of given numbers 308, 888, 870, 160 is 2
2. How to calculate the greatest common divisor of 308, 888, 870, 160?
We can find the highest common divisor of 308, 888, 870, 160 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 308, 888, 870, 160 i.e 2.
3. How can I use the GCD of 308, 888, 870, 160Calculator?
Out the numbers 308, 888, 870, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.