Online GCD Calculator is useful to find the GCD of 660, 117, 67, 825 quickly. Get the easiest ways to solve the greatest common divisor of 660, 117, 67, 825 i.e 1 in different methods as follows.
Given Input numbers are 660, 117, 67, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 67 :
The positive integer divisors of 67 that completely divides 67 are.
1, 67
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 (660, 117, 67, 825) = 1.
Given numbers are 660, 117, 67, 825
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 117 are 3 x 3 x 13
Prime factors of 67 are 67
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 660, 117, 67, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 117) = 25740
GCD(660, 117) = ( 660 x 117 ) / 25740
= 660 / 117
= 660
Step2:
LCM(3, 67) = 201
GCD(3, 67) = ( 3 x 67 ) / 201
= 3 / 67
= 3
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 660, 117, 67, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 117, 67, 825
The greatest common divisor of numbers 660, 117, 67, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 117, 67, 825 is 1.
1. What is the GCD of 660, 117, 67, 825?
GCD of given numbers 660, 117, 67, 825 is 1
2. How to calculate the greatest common divisor of 660, 117, 67, 825?
We can find the highest common divisor of 660, 117, 67, 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 660, 117, 67, 825 i.e 1.
3. How can I use the GCD of 660, 117, 67, 825Calculator?
Out the numbers 660, 117, 67, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.