Online GCD Calculator is useful to find the GCD of 756, 825, 89 quickly. Get the easiest ways to solve the greatest common divisor of 756, 825, 89 i.e 1 in different methods as follows.
Given Input numbers are 756, 825, 89
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
Divisors of 89 :
The positive integer divisors of 89 that completely divides 89 are.
1, 89
GCD of numbers is the greatest common divisor
So, the GCD (756, 825, 89) = 1.
Given numbers are 756, 825, 89
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 89 are 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 825, 89
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 825) = 207900
GCD(756, 825) = ( 756 x 825 ) / 207900
= 756 / 825
= 756
Step2:
LCM(3, 89) = 267
GCD(3, 89) = ( 3 x 89 ) / 267
= 3 / 89
= 3
So, Greatest Common Divisor of 756, 825, 89 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 825, 89
The greatest common divisor of numbers 756, 825, 89 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 825, 89 is 1.
1. What is the GCD of 756, 825, 89?
GCD of given numbers 756, 825, 89 is 1
2. How to calculate the greatest common divisor of 756, 825, 89?
We can find the highest common divisor of 756, 825, 89 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 756, 825, 89 i.e 1.
3. How can I use the GCD of 756, 825, 89Calculator?
Out the numbers 756, 825, 89 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.