Online GCD Calculator is useful to find the GCD of 880, 663, 705, 825 quickly. Get the easiest ways to solve the greatest common divisor of 880, 663, 705, 825 i.e 1 in different methods as follows.
Given Input numbers are 880, 663, 705, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (880, 663, 705, 825) = 1.
Given numbers are 880, 663, 705, 825
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 663 are 3 x 13 x 17
Prime factors of 705 are 3 x 5 x 47
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 880, 663, 705, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 663) = 583440
GCD(880, 663) = ( 880 x 663 ) / 583440
= 880 / 663
= 880
Step2:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 880, 663, 705, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 663, 705, 825
The greatest common divisor of numbers 880, 663, 705, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 663, 705, 825 is 1.
1. What is the GCD of 880, 663, 705, 825?
GCD of given numbers 880, 663, 705, 825 is 1
2. How to calculate the greatest common divisor of 880, 663, 705, 825?
We can find the highest common divisor of 880, 663, 705, 825 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 880, 663, 705, 825 i.e 1.
3. How can I use the GCD of 880, 663, 705, 825Calculator?
Out the numbers 880, 663, 705, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.