Online GCD Calculator is useful to find the GCD of 169, 102, 172, 225 quickly. Get the easiest ways to solve the greatest common divisor of 169, 102, 172, 225 i.e 1 in different methods as follows.
Given Input numbers are 169, 102, 172, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (169, 102, 172, 225) = 1.
Given numbers are 169, 102, 172, 225
The list of prime factors of all numbers are
Prime factors of 169 are 13 x 13
Prime factors of 102 are 2 x 3 x 17
Prime factors of 172 are 2 x 2 x 43
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 169, 102, 172, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(169, 102) = 17238
GCD(169, 102) = ( 169 x 102 ) / 17238
= 169 / 102
= 169
Step2:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 169, 102, 172, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 169, 102, 172, 225
The greatest common divisor of numbers 169, 102, 172, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 102, 172, 225 is 1.
1. What is the GCD of 169, 102, 172, 225?
GCD of given numbers 169, 102, 172, 225 is 1
2. How to calculate the greatest common divisor of 169, 102, 172, 225?
We can find the highest common divisor of 169, 102, 172, 225 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 169, 102, 172, 225 i.e 1.
3. How can I use the GCD of 169, 102, 172, 225Calculator?
Out the numbers 169, 102, 172, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.