Online GCD Calculator is useful to find the GCD of 448, 320, 196, 834 quickly. Get the easiest ways to solve the greatest common divisor of 448, 320, 196, 834 i.e 2 in different methods as follows.
Given Input numbers are 448, 320, 196, 834
In the factoring method, we have to find the divisors of all numbers
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (448, 320, 196, 834) = 2.
Given numbers are 448, 320, 196, 834
The list of prime factors of all numbers are
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 834 are 2 x 3 x 139
The highest common occurrence is 21
Therefore, GCD of 448, 320, 196, 834 is 2.
Given numbers are 448, 320, 196, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(448, 320) = 2240
GCD(448, 320) = ( 448 x 320 ) / 2240
= 448 / 320
= 448
Step2:
LCM(64, 196) = 3136
GCD(64, 196) = ( 64 x 196 ) / 3136
= 64 / 196
= 64
Step3:
LCM(4, 834) = 1668
GCD(4, 834) = ( 4 x 834 ) / 1668
= 4 / 834
= 4
So, Greatest Common Divisor of 448, 320, 196, 834 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 448, 320, 196, 834
The greatest common divisor of numbers 448, 320, 196, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 320, 196, 834 is 2.
1. What is the GCD of 448, 320, 196, 834?
GCD of given numbers 448, 320, 196, 834 is 2
2. How to calculate the greatest common divisor of 448, 320, 196, 834?
We can find the highest common divisor of 448, 320, 196, 834 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 448, 320, 196, 834 i.e 2.
3. How can I use the GCD of 448, 320, 196, 834Calculator?
Out the numbers 448, 320, 196, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.