GCD of 209, 145, 83, 297 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 209, 145, 83, 297 quickly. Get the easiest ways to solve the greatest common divisor of 209, 145, 83, 297 i.e 1 in different methods as follows.
Given Input numbers are 209, 145, 83, 297
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 83 :
The positive integer divisors of 83 that completely divides 83 are.
1, 83
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (209, 145, 83, 297) = 1.
Given numbers are 209, 145, 83, 297
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 145 are 5 x 29
Prime factors of 83 are 83
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 209, 145, 83, 297 using LCM Formula
Given numbers are 209, 145, 83, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 145) = 30305
GCD(209, 145) = ( 209 x 145 ) / 30305
= 209 / 145
= 209
Step2:
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
= 1 / 83
= 1
Step3:
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
= 1 / 297
= 1
So, Greatest Common Divisor of 209, 145, 83, 297 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 209, 145, 83, 297
Given numbers are 209, 145, 83, 297
The greatest common divisor of numbers 209, 145, 83, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 145, 83, 297 is 1.
FAQs on GCD of 209, 145, 83, 297 Calculator
1. What is the GCD of 209, 145, 83, 297?
GCD of given numbers 209, 145, 83, 297 is 1
2. How to calculate the greatest common divisor of 209, 145, 83, 297?
We can find the highest common divisor of 209, 145, 83, 297 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 209, 145, 83, 297 i.e 1.
3. How can I use the GCD of 209, 145, 83, 297Calculator?
Out the numbers 209, 145, 83, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.