GCD of 867, 309, 221, 993 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 867, 309, 221, 993 quickly. Get the easiest ways to solve the greatest common divisor of 867, 309, 221, 993 i.e 1 in different methods as follows.
Given Input numbers are 867, 309, 221, 993
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
GCD of numbers is the greatest common divisor
So, the GCD (867, 309, 221, 993) = 1.
Given numbers are 867, 309, 221, 993
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 309 are 3 x 103
Prime factors of 221 are 13 x 17
Prime factors of 993 are 3 x 331
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 867, 309, 221, 993 using LCM Formula
Given numbers are 867, 309, 221, 993
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 309) = 89301
GCD(867, 309) = ( 867 x 309 ) / 89301
= 867 / 309
= 867
Step2:
LCM(3, 221) = 663
GCD(3, 221) = ( 3 x 221 ) / 663
= 3 / 221
= 3
Step3:
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
= 1 / 993
= 1
So, Greatest Common Divisor of 867, 309, 221, 993 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 867, 309, 221, 993
Given numbers are 867, 309, 221, 993
The greatest common divisor of numbers 867, 309, 221, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 309, 221, 993 is 1.
FAQs on GCD of 867, 309, 221, 993 Calculator
1. What is the GCD of 867, 309, 221, 993?
GCD of given numbers 867, 309, 221, 993 is 1
2. How to calculate the greatest common divisor of 867, 309, 221, 993?
We can find the highest common divisor of 867, 309, 221, 993 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 867, 309, 221, 993 i.e 1.
3. How can I use the GCD of 867, 309, 221, 993Calculator?
Out the numbers 867, 309, 221, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.