Online GCD Calculator is useful to find the GCD of 225, 153, 692, 828 quickly. Get the easiest ways to solve the greatest common divisor of 225, 153, 692, 828 i.e 1 in different methods as follows.
Given Input numbers are 225, 153, 692, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (225, 153, 692, 828) = 1.
Given numbers are 225, 153, 692, 828
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 153 are 3 x 3 x 17
Prime factors of 692 are 2 x 2 x 173
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 153, 692, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 153) = 3825
GCD(225, 153) = ( 225 x 153 ) / 3825
= 225 / 153
= 225
Step2:
LCM(9, 692) = 6228
GCD(9, 692) = ( 9 x 692 ) / 6228
= 9 / 692
= 9
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 225, 153, 692, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 153, 692, 828
The greatest common divisor of numbers 225, 153, 692, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 153, 692, 828 is 1.
1. What is the GCD of 225, 153, 692, 828?
GCD of given numbers 225, 153, 692, 828 is 1
2. How to calculate the greatest common divisor of 225, 153, 692, 828?
We can find the highest common divisor of 225, 153, 692, 828 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 225, 153, 692, 828 i.e 1.
3. How can I use the GCD of 225, 153, 692, 828Calculator?
Out the numbers 225, 153, 692, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.