Online GCD Calculator is useful to find the GCD of 108, 520, 792, 260 quickly. Get the easiest ways to solve the greatest common divisor of 108, 520, 792, 260 i.e 4 in different methods as follows.
Given Input numbers are 108, 520, 792, 260
In the factoring method, we have to find the divisors of all numbers
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 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
GCD of numbers is the greatest common divisor
So, the GCD (108, 520, 792, 260) = 4.
Given numbers are 108, 520, 792, 260
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 260 are 2 x 2 x 5 x 13
The highest common occurrence is 22
Therefore, GCD of 108, 520, 792, 260 is 4.
Given numbers are 108, 520, 792, 260
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 520) = 14040
GCD(108, 520) = ( 108 x 520 ) / 14040
= 108 / 520
= 108
Step2:
LCM(4, 792) = 792
GCD(4, 792) = ( 4 x 792 ) / 792
= 4 / 792
= 4
Step3:
LCM(4, 260) = 260
GCD(4, 260) = ( 4 x 260 ) / 260
= 4 / 260
= 4
So, Greatest Common Divisor of 108, 520, 792, 260 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 520, 792, 260
The greatest common divisor of numbers 108, 520, 792, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 520, 792, 260 is 4.
1. What is the GCD of 108, 520, 792, 260?
GCD of given numbers 108, 520, 792, 260 is 4
2. How to calculate the greatest common divisor of 108, 520, 792, 260?
We can find the highest common divisor of 108, 520, 792, 260 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 108, 520, 792, 260 i.e 4.
3. How can I use the GCD of 108, 520, 792, 260Calculator?
Out the numbers 108, 520, 792, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.