Online GCD Calculator is useful to find the GCD of 898, 228, 145, 175 quickly. Get the easiest ways to solve the greatest common divisor of 898, 228, 145, 175 i.e 1 in different methods as follows.
Given Input numbers are 898, 228, 145, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (898, 228, 145, 175) = 1.
Given numbers are 898, 228, 145, 175
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 145 are 5 x 29
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 898, 228, 145, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 228) = 102372
GCD(898, 228) = ( 898 x 228 ) / 102372
= 898 / 228
= 898
Step2:
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
= 2 / 145
= 2
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 898, 228, 145, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 228, 145, 175
The greatest common divisor of numbers 898, 228, 145, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 228, 145, 175 is 1.
1. What is the GCD of 898, 228, 145, 175?
GCD of given numbers 898, 228, 145, 175 is 1
2. How to calculate the greatest common divisor of 898, 228, 145, 175?
We can find the highest common divisor of 898, 228, 145, 175 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 898, 228, 145, 175 i.e 1.
3. How can I use the GCD of 898, 228, 145, 175Calculator?
Out the numbers 898, 228, 145, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.