Online GCD Calculator is useful to find the GCD of 958, 448, 684, 116 quickly. Get the easiest ways to solve the greatest common divisor of 958, 448, 684, 116 i.e 2 in different methods as follows.
Given Input numbers are 958, 448, 684, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (958, 448, 684, 116) = 2.
Given numbers are 958, 448, 684, 116
The list of prime factors of all numbers are
Prime factors of 958 are 2 x 479
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 958, 448, 684, 116 is 2.
Given numbers are 958, 448, 684, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(958, 448) = 214592
GCD(958, 448) = ( 958 x 448 ) / 214592
= 958 / 448
= 958
Step2:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 958, 448, 684, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 958, 448, 684, 116
The greatest common divisor of numbers 958, 448, 684, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 448, 684, 116 is 2.
1. What is the GCD of 958, 448, 684, 116?
GCD of given numbers 958, 448, 684, 116 is 2
2. How to calculate the greatest common divisor of 958, 448, 684, 116?
We can find the highest common divisor of 958, 448, 684, 116 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 958, 448, 684, 116 i.e 2.
3. How can I use the GCD of 958, 448, 684, 116Calculator?
Out the numbers 958, 448, 684, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.