Online GCD Calculator is useful to find the GCD of 825, 530, 974 quickly. Get the easiest ways to solve the greatest common divisor of 825, 530, 974 i.e 1 in different methods as follows.
Given Input numbers are 825, 530, 974
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 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
GCD of numbers is the greatest common divisor
So, the GCD (825, 530, 974) = 1.
Given numbers are 825, 530, 974
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 530 are 2 x 5 x 53
Prime factors of 974 are 2 x 487
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 530, 974
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 530) = 87450
GCD(825, 530) = ( 825 x 530 ) / 87450
= 825 / 530
= 825
Step2:
LCM(5, 974) = 4870
GCD(5, 974) = ( 5 x 974 ) / 4870
= 5 / 974
= 5
So, Greatest Common Divisor of 825, 530, 974 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 530, 974
The greatest common divisor of numbers 825, 530, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 530, 974 is 1.
1. What is the GCD of 825, 530, 974?
GCD of given numbers 825, 530, 974 is 1
2. How to calculate the greatest common divisor of 825, 530, 974?
We can find the highest common divisor of 825, 530, 974 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, 530, 974 i.e 1.
3. How can I use the GCD of 825, 530, 974Calculator?
Out the numbers 825, 530, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.