Online GCD Calculator is useful to find the GCD of 455, 385, 175 quickly. Get the easiest ways to solve the greatest common divisor of 455, 385, 175 i.e 35 in different methods as follows.
Given Input numbers are 455, 385, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
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 (455, 385, 175) = 35.
Given numbers are 455, 385, 175
The list of prime factors of all numbers are
Prime factors of 455 are 5 x 7 x 13
Prime factors of 385 are 5 x 7 x 11
Prime factors of 175 are 5 x 5 x 7
The highest common occurrence is 51 x 71
Therefore, GCD of 455, 385, 175 is 35.
Given numbers are 455, 385, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(455, 385) = 5005
GCD(455, 385) = ( 455 x 385 ) / 5005
= 455 / 385
= 455
Step2:
LCM(35, 175) = 175
GCD(35, 175) = ( 35 x 175 ) / 175
= 35 / 175
= 35
So, Greatest Common Divisor of 455, 385, 175 is 35
Here are some samples of GCD of Numbers calculations.
Given numbers are 455, 385, 175
The greatest common divisor of numbers 455, 385, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 455, 385, 175 is 35.
1. What is the GCD of 455, 385, 175?
GCD of given numbers 455, 385, 175 is 35
2. How to calculate the greatest common divisor of 455, 385, 175?
We can find the highest common divisor of 455, 385, 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 455, 385, 175 i.e 35.
3. How can I use the GCD of 455, 385, 175Calculator?
Out the numbers 455, 385, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.