Online GCD Calculator is useful to find the GCD of 960, 840, 418, 640 quickly. Get the easiest ways to solve the greatest common divisor of 960, 840, 418, 640 i.e 2 in different methods as follows.
Given Input numbers are 960, 840, 418, 640
In the factoring method, we have to find the divisors of all numbers
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
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 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (960, 840, 418, 640) = 2.
Given numbers are 960, 840, 418, 640
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 418 are 2 x 11 x 19
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 960, 840, 418, 640 is 2.
Given numbers are 960, 840, 418, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 840) = 6720
GCD(960, 840) = ( 960 x 840 ) / 6720
= 960 / 840
= 960
Step2:
LCM(120, 418) = 25080
GCD(120, 418) = ( 120 x 418 ) / 25080
= 120 / 418
= 120
Step3:
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
= 2 / 640
= 2
So, Greatest Common Divisor of 960, 840, 418, 640 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 840, 418, 640
The greatest common divisor of numbers 960, 840, 418, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 840, 418, 640 is 2.
1. What is the GCD of 960, 840, 418, 640?
GCD of given numbers 960, 840, 418, 640 is 2
2. How to calculate the greatest common divisor of 960, 840, 418, 640?
We can find the highest common divisor of 960, 840, 418, 640 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 960, 840, 418, 640 i.e 2.
3. How can I use the GCD of 960, 840, 418, 640Calculator?
Out the numbers 960, 840, 418, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.