Online GCD Calculator is useful to find the GCD of 825, 283, 746, 308 quickly. Get the easiest ways to solve the greatest common divisor of 825, 283, 746, 308 i.e 1 in different methods as follows.
Given Input numbers are 825, 283, 746, 308
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 283 :
The positive integer divisors of 283 that completely divides 283 are.
1, 283
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (825, 283, 746, 308) = 1.
Given numbers are 825, 283, 746, 308
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 283 are 283
Prime factors of 746 are 2 x 373
Prime factors of 308 are 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 283, 746, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 283) = 233475
GCD(825, 283) = ( 825 x 283 ) / 233475
= 825 / 283
= 825
Step2:
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
= 1 / 746
= 1
Step3:
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
= 1 / 308
= 1
So, Greatest Common Divisor of 825, 283, 746, 308 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 283, 746, 308
The greatest common divisor of numbers 825, 283, 746, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 283, 746, 308 is 1.
1. What is the GCD of 825, 283, 746, 308?
GCD of given numbers 825, 283, 746, 308 is 1
2. How to calculate the greatest common divisor of 825, 283, 746, 308?
We can find the highest common divisor of 825, 283, 746, 308 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, 283, 746, 308 i.e 1.
3. How can I use the GCD of 825, 283, 746, 308Calculator?
Out the numbers 825, 283, 746, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.