Online GCD Calculator is useful to find the GCD of 825, 107, 352, 900 quickly. Get the easiest ways to solve the greatest common divisor of 825, 107, 352, 900 i.e 1 in different methods as follows.
Given Input numbers are 825, 107, 352, 900
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 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (825, 107, 352, 900) = 1.
Given numbers are 825, 107, 352, 900
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 107 are 107
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 107, 352, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 107) = 88275
GCD(825, 107) = ( 825 x 107 ) / 88275
= 825 / 107
= 825
Step2:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 825, 107, 352, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 107, 352, 900
The greatest common divisor of numbers 825, 107, 352, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 107, 352, 900 is 1.
1. What is the GCD of 825, 107, 352, 900?
GCD of given numbers 825, 107, 352, 900 is 1
2. How to calculate the greatest common divisor of 825, 107, 352, 900?
We can find the highest common divisor of 825, 107, 352, 900 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, 107, 352, 900 i.e 1.
3. How can I use the GCD of 825, 107, 352, 900Calculator?
Out the numbers 825, 107, 352, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.