GCD of 825, 414, 355 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 825, 414, 355 quickly. Get the easiest ways to solve the greatest common divisor of 825, 414, 355 i.e 1 in different methods as follows.
Given Input numbers are 825, 414, 355
In the factoring method, we have to find the divisors of all numbers
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 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (825, 414, 355) = 1.
Given numbers are 825, 414, 355
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 825, 414, 355 using LCM Formula
Given numbers are 825, 414, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 414) = 113850
GCD(825, 414) = ( 825 x 414 ) / 113850
= 825 / 414
= 825
Step2:
LCM(3, 355) = 1065
GCD(3, 355) = ( 3 x 355 ) / 1065
= 3 / 355
= 3
So, Greatest Common Divisor of 825, 414, 355 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 825, 414, 355
Given numbers are 825, 414, 355
The greatest common divisor of numbers 825, 414, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 414, 355 is 1.
FAQs on GCD of 825, 414, 355 Calculator
1. What is the GCD of 825, 414, 355?
GCD of given numbers 825, 414, 355 is 1
2. How to calculate the greatest common divisor of 825, 414, 355?
We can find the highest common divisor of 825, 414, 355 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 825, 414, 355 i.e 1.
3. How can I use the GCD of 825, 414, 355Calculator?
Out the numbers 825, 414, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.