Online GCD Calculator is useful to find the GCD of 825, 851, 99, 854 quickly. Get the easiest ways to solve the greatest common divisor of 825, 851, 99, 854 i.e 1 in different methods as follows.
Given Input numbers are 825, 851, 99, 854
In the factoring method, we have to find the divisors of all numbers
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 851 :
The positive integer divisors of 851 that completely divides 851 are.
1, 23, 37, 851
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (825, 851, 99, 854) = 1.
Given numbers are 825, 851, 99, 854
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 851 are 23 x 37
Prime factors of 99 are 3 x 3 x 11
Prime factors of 854 are 2 x 7 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 851, 99, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 851) = 702075
GCD(825, 851) = ( 825 x 851 ) / 702075
= 825 / 851
= 825
Step2:
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
= 1 / 99
= 1
Step3:
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
= 1 / 854
= 1
So, Greatest Common Divisor of 825, 851, 99, 854 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 851, 99, 854
The greatest common divisor of numbers 825, 851, 99, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 851, 99, 854 is 1.
1. What is the GCD of 825, 851, 99, 854?
GCD of given numbers 825, 851, 99, 854 is 1
2. How to calculate the greatest common divisor of 825, 851, 99, 854?
We can find the highest common divisor of 825, 851, 99, 854 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 825, 851, 99, 854 i.e 1.
3. How can I use the GCD of 825, 851, 99, 854Calculator?
Out the numbers 825, 851, 99, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.