Online GCD Calculator is useful to find the GCD of 828, 220, 111, 960 quickly. Get the easiest ways to solve the greatest common divisor of 828, 220, 111, 960 i.e 1 in different methods as follows.
Given Input numbers are 828, 220, 111, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
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 (828, 220, 111, 960) = 1.
Given numbers are 828, 220, 111, 960
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 111 are 3 x 37
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 220, 111, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 220) = 45540
GCD(828, 220) = ( 828 x 220 ) / 45540
= 828 / 220
= 828
Step2:
LCM(4, 111) = 444
GCD(4, 111) = ( 4 x 111 ) / 444
= 4 / 111
= 4
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 828, 220, 111, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 220, 111, 960
The greatest common divisor of numbers 828, 220, 111, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 220, 111, 960 is 1.
1. What is the GCD of 828, 220, 111, 960?
GCD of given numbers 828, 220, 111, 960 is 1
2. How to calculate the greatest common divisor of 828, 220, 111, 960?
We can find the highest common divisor of 828, 220, 111, 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 828, 220, 111, 960 i.e 1.
3. How can I use the GCD of 828, 220, 111, 960Calculator?
Out the numbers 828, 220, 111, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.