Online GCD Calculator is useful to find the GCD of 920, 446, 958, 936 quickly. Get the easiest ways to solve the greatest common divisor of 920, 446, 958, 936 i.e 2 in different methods as follows.
Given Input numbers are 920, 446, 958, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (920, 446, 958, 936) = 2.
Given numbers are 920, 446, 958, 936
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 446 are 2 x 223
Prime factors of 958 are 2 x 479
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 920, 446, 958, 936 is 2.
Given numbers are 920, 446, 958, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 446) = 205160
GCD(920, 446) = ( 920 x 446 ) / 205160
= 920 / 446
= 920
Step2:
LCM(2, 958) = 958
GCD(2, 958) = ( 2 x 958 ) / 958
= 2 / 958
= 2
Step3:
LCM(2, 936) = 936
GCD(2, 936) = ( 2 x 936 ) / 936
= 2 / 936
= 2
So, Greatest Common Divisor of 920, 446, 958, 936 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 446, 958, 936
The greatest common divisor of numbers 920, 446, 958, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 446, 958, 936 is 2.
1. What is the GCD of 920, 446, 958, 936?
GCD of given numbers 920, 446, 958, 936 is 2
2. How to calculate the greatest common divisor of 920, 446, 958, 936?
We can find the highest common divisor of 920, 446, 958, 936 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 920, 446, 958, 936 i.e 2.
3. How can I use the GCD of 920, 446, 958, 936Calculator?
Out the numbers 920, 446, 958, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.