Online GCD Calculator is useful to find the GCD of 854, 360, 825 quickly. Get the easiest ways to solve the greatest common divisor of 854, 360, 825 i.e 1 in different methods as follows.
Given Input numbers are 854, 360, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 (854, 360, 825) = 1.
Given numbers are 854, 360, 825
The list of prime factors of all numbers are
Prime factors of 854 are 2 x 7 x 61
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
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 854, 360, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(854, 360) = 153720
GCD(854, 360) = ( 854 x 360 ) / 153720
= 854 / 360
= 854
Step2:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 854, 360, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 854, 360, 825
The greatest common divisor of numbers 854, 360, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 360, 825 is 1.
1. What is the GCD of 854, 360, 825?
GCD of given numbers 854, 360, 825 is 1
2. How to calculate the greatest common divisor of 854, 360, 825?
We can find the highest common divisor of 854, 360, 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 854, 360, 825 i.e 1.
3. How can I use the GCD of 854, 360, 825Calculator?
Out the numbers 854, 360, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.