Online GCD Calculator is useful to find the GCD of 920, 108, 748, 288 quickly. Get the easiest ways to solve the greatest common divisor of 920, 108, 748, 288 i.e 4 in different methods as follows.
Given Input numbers are 920, 108, 748, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (920, 108, 748, 288) = 4.
Given numbers are 920, 108, 748, 288
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 920, 108, 748, 288 is 4.
Given numbers are 920, 108, 748, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 108) = 24840
GCD(920, 108) = ( 920 x 108 ) / 24840
= 920 / 108
= 920
Step2:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
Step3:
LCM(4, 288) = 288
GCD(4, 288) = ( 4 x 288 ) / 288
= 4 / 288
= 4
So, Greatest Common Divisor of 920, 108, 748, 288 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 108, 748, 288
The greatest common divisor of numbers 920, 108, 748, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 108, 748, 288 is 4.
1. What is the GCD of 920, 108, 748, 288?
GCD of given numbers 920, 108, 748, 288 is 4
2. How to calculate the greatest common divisor of 920, 108, 748, 288?
We can find the highest common divisor of 920, 108, 748, 288 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 920, 108, 748, 288 i.e 4.
3. How can I use the GCD of 920, 108, 748, 288Calculator?
Out the numbers 920, 108, 748, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.