Online GCD Calculator is useful to find the GCD of 118, 225, 144, 538 quickly. Get the easiest ways to solve the greatest common divisor of 118, 225, 144, 538 i.e 1 in different methods as follows.
Given Input numbers are 118, 225, 144, 538
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (118, 225, 144, 538) = 1.
Given numbers are 118, 225, 144, 538
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 118, 225, 144, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 225) = 26550
GCD(118, 225) = ( 118 x 225 ) / 26550
= 118 / 225
= 118
Step2:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
Step3:
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
= 1 / 538
= 1
So, Greatest Common Divisor of 118, 225, 144, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 225, 144, 538
The greatest common divisor of numbers 118, 225, 144, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 225, 144, 538 is 1.
1. What is the GCD of 118, 225, 144, 538?
GCD of given numbers 118, 225, 144, 538 is 1
2. How to calculate the greatest common divisor of 118, 225, 144, 538?
We can find the highest common divisor of 118, 225, 144, 538 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 118, 225, 144, 538 i.e 1.
3. How can I use the GCD of 118, 225, 144, 538Calculator?
Out the numbers 118, 225, 144, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.