Online GCD Calculator is useful to find the GCD of 896, 420, 308 quickly. Get the easiest ways to solve the greatest common divisor of 896, 420, 308 i.e 28 in different methods as follows.
Given Input numbers are 896, 420, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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
GCD of numbers is the greatest common divisor
So, the GCD (896, 420, 308) = 28.
Given numbers are 896, 420, 308
The list of prime factors of all numbers are
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 22 x 71
Therefore, GCD of 896, 420, 308 is 28.
Given numbers are 896, 420, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(896, 420) = 13440
GCD(896, 420) = ( 896 x 420 ) / 13440
= 896 / 420
= 896
Step2:
LCM(28, 308) = 308
GCD(28, 308) = ( 28 x 308 ) / 308
= 28 / 308
= 28
So, Greatest Common Divisor of 896, 420, 308 is 28
Here are some samples of GCD of Numbers calculations.
Given numbers are 896, 420, 308
The greatest common divisor of numbers 896, 420, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 420, 308 is 28.
1. What is the GCD of 896, 420, 308?
GCD of given numbers 896, 420, 308 is 28
2. How to calculate the greatest common divisor of 896, 420, 308?
We can find the highest common divisor of 896, 420, 308 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 896, 420, 308 i.e 28.
3. How can I use the GCD of 896, 420, 308Calculator?
Out the numbers 896, 420, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.