Online GCD Calculator is useful to find the GCD of 825, 492, 423, 925 quickly. Get the easiest ways to solve the greatest common divisor of 825, 492, 423, 925 i.e 1 in different methods as follows.
Given Input numbers are 825, 492, 423, 925
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 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
GCD of numbers is the greatest common divisor
So, the GCD (825, 492, 423, 925) = 1.
Given numbers are 825, 492, 423, 925
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 423 are 3 x 3 x 47
Prime factors of 925 are 5 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 492, 423, 925
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 492) = 135300
GCD(825, 492) = ( 825 x 492 ) / 135300
= 825 / 492
= 825
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
Step3:
LCM(3, 925) = 2775
GCD(3, 925) = ( 3 x 925 ) / 2775
= 3 / 925
= 3
So, Greatest Common Divisor of 825, 492, 423, 925 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 492, 423, 925
The greatest common divisor of numbers 825, 492, 423, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 492, 423, 925 is 1.
1. What is the GCD of 825, 492, 423, 925?
GCD of given numbers 825, 492, 423, 925 is 1
2. How to calculate the greatest common divisor of 825, 492, 423, 925?
We can find the highest common divisor of 825, 492, 423, 925 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, 492, 423, 925 i.e 1.
3. How can I use the GCD of 825, 492, 423, 925Calculator?
Out the numbers 825, 492, 423, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.