GCD of 189, 343, 91, 511 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 189, 343, 91, 511 quickly. Get the easiest ways to solve the greatest common divisor of 189, 343, 91, 511 i.e 7 in different methods as follows.
Given Input numbers are 189, 343, 91, 511
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 91 :
The positive integer divisors of 91 that completely divides 91 are.
1, 7, 13, 91
Divisors of 511 :
The positive integer divisors of 511 that completely divides 511 are.
1, 7, 73, 511
GCD of numbers is the greatest common divisor
So, the GCD (189, 343, 91, 511) = 7.
Given numbers are 189, 343, 91, 511
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 343 are 7 x 7 x 7
Prime factors of 91 are 7 x 13
Prime factors of 511 are 7 x 73
The highest common occurrence is 71
Therefore, GCD of 189, 343, 91, 511 is 7.
Steps to Calculate GCD of 189, 343, 91, 511 using LCM Formula
Given numbers are 189, 343, 91, 511
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 343) = 9261
GCD(189, 343) = ( 189 x 343 ) / 9261
= 189 / 343
= 189
Step2:
LCM(7, 91) = 91
GCD(7, 91) = ( 7 x 91 ) / 91
= 7 / 91
= 7
Step3:
LCM(7, 511) = 511
GCD(7, 511) = ( 7 x 511 ) / 511
= 7 / 511
= 7
So, Greatest Common Divisor of 189, 343, 91, 511 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 189, 343, 91, 511
Given numbers are 189, 343, 91, 511
The greatest common divisor of numbers 189, 343, 91, 511 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 343, 91, 511 is 7.
FAQs on GCD of 189, 343, 91, 511 Calculator
1. What is the GCD of 189, 343, 91, 511?
GCD of given numbers 189, 343, 91, 511 is 7
2. How to calculate the greatest common divisor of 189, 343, 91, 511?
We can find the highest common divisor of 189, 343, 91, 511 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 189, 343, 91, 511 i.e 7.
3. How can I use the GCD of 189, 343, 91, 511Calculator?
Out the numbers 189, 343, 91, 511 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.