Online GCD Calculator is useful to find the GCD of 120, 108, 828, 633 quickly. Get the easiest ways to solve the greatest common divisor of 120, 108, 828, 633 i.e 3 in different methods as follows.
Given Input numbers are 120, 108, 828, 633
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
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 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
GCD of numbers is the greatest common divisor
So, the GCD (120, 108, 828, 633) = 3.
Given numbers are 120, 108, 828, 633
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 633 are 3 x 211
The highest common occurrence is 31
Therefore, GCD of 120, 108, 828, 633 is 3.
Given numbers are 120, 108, 828, 633
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 108) = 1080
GCD(120, 108) = ( 120 x 108 ) / 1080
= 120 / 108
= 120
Step2:
LCM(12, 828) = 828
GCD(12, 828) = ( 12 x 828 ) / 828
= 12 / 828
= 12
Step3:
LCM(12, 633) = 2532
GCD(12, 633) = ( 12 x 633 ) / 2532
= 12 / 633
= 12
So, Greatest Common Divisor of 120, 108, 828, 633 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 108, 828, 633
The greatest common divisor of numbers 120, 108, 828, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 108, 828, 633 is 3.
1. What is the GCD of 120, 108, 828, 633?
GCD of given numbers 120, 108, 828, 633 is 3
2. How to calculate the greatest common divisor of 120, 108, 828, 633?
We can find the highest common divisor of 120, 108, 828, 633 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 120, 108, 828, 633 i.e 3.
3. How can I use the GCD of 120, 108, 828, 633Calculator?
Out the numbers 120, 108, 828, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.