Online GCD Calculator is useful to find the GCD of 933, 843, 840, 960 quickly. Get the easiest ways to solve the greatest common divisor of 933, 843, 840, 960 i.e 3 in different methods as follows.
Given Input numbers are 933, 843, 840, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 933 :
The positive integer divisors of 933 that completely divides 933 are.
1, 3, 311, 933
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (933, 843, 840, 960) = 3.
Given numbers are 933, 843, 840, 960
The list of prime factors of all numbers are
Prime factors of 933 are 3 x 311
Prime factors of 843 are 3 x 281
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 933, 843, 840, 960 is 3.
Given numbers are 933, 843, 840, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(933, 843) = 262173
GCD(933, 843) = ( 933 x 843 ) / 262173
= 933 / 843
= 933
Step2:
LCM(3, 840) = 840
GCD(3, 840) = ( 3 x 840 ) / 840
= 3 / 840
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 933, 843, 840, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 933, 843, 840, 960
The greatest common divisor of numbers 933, 843, 840, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 933, 843, 840, 960 is 3.
1. What is the GCD of 933, 843, 840, 960?
GCD of given numbers 933, 843, 840, 960 is 3
2. How to calculate the greatest common divisor of 933, 843, 840, 960?
We can find the highest common divisor of 933, 843, 840, 960 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 933, 843, 840, 960 i.e 3.
3. How can I use the GCD of 933, 843, 840, 960Calculator?
Out the numbers 933, 843, 840, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.