Online GCD Calculator is useful to find the GCD of 355, 495, 825, 461 quickly. Get the easiest ways to solve the greatest common divisor of 355, 495, 825, 461 i.e 1 in different methods as follows.
Given Input numbers are 355, 495, 825, 461
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
GCD of numbers is the greatest common divisor
So, the GCD (355, 495, 825, 461) = 1.
Given numbers are 355, 495, 825, 461
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 461 are 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 355, 495, 825, 461
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 495) = 35145
GCD(355, 495) = ( 355 x 495 ) / 35145
= 355 / 495
= 355
Step2:
LCM(5, 825) = 825
GCD(5, 825) = ( 5 x 825 ) / 825
= 5 / 825
= 5
Step3:
LCM(5, 461) = 2305
GCD(5, 461) = ( 5 x 461 ) / 2305
= 5 / 461
= 5
So, Greatest Common Divisor of 355, 495, 825, 461 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 495, 825, 461
The greatest common divisor of numbers 355, 495, 825, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 495, 825, 461 is 1.
1. What is the GCD of 355, 495, 825, 461?
GCD of given numbers 355, 495, 825, 461 is 1
2. How to calculate the greatest common divisor of 355, 495, 825, 461?
We can find the highest common divisor of 355, 495, 825, 461 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 355, 495, 825, 461 i.e 1.
3. How can I use the GCD of 355, 495, 825, 461Calculator?
Out the numbers 355, 495, 825, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.