Online GCD Calculator is useful to find the GCD of 110, 748, 528 quickly. Get the easiest ways to solve the greatest common divisor of 110, 748, 528 i.e 22 in different methods as follows.
Given Input numbers are 110, 748, 528
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
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 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
GCD of numbers is the greatest common divisor
So, the GCD (110, 748, 528) = 22.
Given numbers are 110, 748, 528
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
The highest common occurrence is 111 x 21
Therefore, GCD of 110, 748, 528 is 22.
Given numbers are 110, 748, 528
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 748) = 3740
GCD(110, 748) = ( 110 x 748 ) / 3740
= 110 / 748
= 110
Step2:
LCM(22, 528) = 528
GCD(22, 528) = ( 22 x 528 ) / 528
= 22 / 528
= 22
So, Greatest Common Divisor of 110, 748, 528 is 22
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 748, 528
The greatest common divisor of numbers 110, 748, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 748, 528 is 22.
1. What is the GCD of 110, 748, 528?
GCD of given numbers 110, 748, 528 is 22
2. How to calculate the greatest common divisor of 110, 748, 528?
We can find the highest common divisor of 110, 748, 528 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 110, 748, 528 i.e 22.
3. How can I use the GCD of 110, 748, 528Calculator?
Out the numbers 110, 748, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.