GCD of 705, 363, 271, 485 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 705, 363, 271, 485 quickly. Get the easiest ways to solve the greatest common divisor of 705, 363, 271, 485 i.e 1 in different methods as follows.
Given Input numbers are 705, 363, 271, 485
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 485 :
The positive integer divisors of 485 that completely divides 485 are.
1, 5, 97, 485
GCD of numbers is the greatest common divisor
So, the GCD (705, 363, 271, 485) = 1.
Given numbers are 705, 363, 271, 485
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 363 are 3 x 11 x 11
Prime factors of 271 are 271
Prime factors of 485 are 5 x 97
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 705, 363, 271, 485 using LCM Formula
Given numbers are 705, 363, 271, 485
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 363) = 85305
GCD(705, 363) = ( 705 x 363 ) / 85305
= 705 / 363
= 705
Step2:
LCM(3, 271) = 813
GCD(3, 271) = ( 3 x 271 ) / 813
= 3 / 271
= 3
Step3:
LCM(1, 485) = 485
GCD(1, 485) = ( 1 x 485 ) / 485
= 1 / 485
= 1
So, Greatest Common Divisor of 705, 363, 271, 485 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 705, 363, 271, 485
Given numbers are 705, 363, 271, 485
The greatest common divisor of numbers 705, 363, 271, 485 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 363, 271, 485 is 1.
FAQs on GCD of 705, 363, 271, 485 Calculator
1. What is the GCD of 705, 363, 271, 485?
GCD of given numbers 705, 363, 271, 485 is 1
2. How to calculate the greatest common divisor of 705, 363, 271, 485?
We can find the highest common divisor of 705, 363, 271, 485 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 705, 363, 271, 485 i.e 1.
3. How can I use the GCD of 705, 363, 271, 485Calculator?
Out the numbers 705, 363, 271, 485 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.