Online GCD Calculator is useful to find the GCD of 208, 324, 550, 870 quickly. Get the easiest ways to solve the greatest common divisor of 208, 324, 550, 870 i.e 2 in different methods as follows.
Given Input numbers are 208, 324, 550, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
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 (208, 324, 550, 870) = 2.
Given numbers are 208, 324, 550, 870
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 208, 324, 550, 870 is 2.
Given numbers are 208, 324, 550, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 324) = 16848
GCD(208, 324) = ( 208 x 324 ) / 16848
= 208 / 324
= 208
Step2:
LCM(4, 550) = 1100
GCD(4, 550) = ( 4 x 550 ) / 1100
= 4 / 550
= 4
Step3:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
So, Greatest Common Divisor of 208, 324, 550, 870 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 324, 550, 870
The greatest common divisor of numbers 208, 324, 550, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 324, 550, 870 is 2.
1. What is the GCD of 208, 324, 550, 870?
GCD of given numbers 208, 324, 550, 870 is 2
2. How to calculate the greatest common divisor of 208, 324, 550, 870?
We can find the highest common divisor of 208, 324, 550, 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 208, 324, 550, 870 i.e 2.
3. How can I use the GCD of 208, 324, 550, 870Calculator?
Out the numbers 208, 324, 550, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.