GCD of 671, 561, 462 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 671, 561, 462 quickly. Get the easiest ways to solve the greatest common divisor of 671, 561, 462 i.e 11 in different methods as follows.
Given Input numbers are 671, 561, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 671 :
The positive integer divisors of 671 that completely divides 671 are.
1, 11, 61, 671
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (671, 561, 462) = 11.
Given numbers are 671, 561, 462
The list of prime factors of all numbers are
Prime factors of 671 are 11 x 61
Prime factors of 561 are 3 x 11 x 17
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 111
Therefore, GCD of 671, 561, 462 is 11.
Steps to Calculate GCD of 671, 561, 462 using LCM Formula
Given numbers are 671, 561, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(671, 561) = 34221
GCD(671, 561) = ( 671 x 561 ) / 34221
= 671 / 561
= 671
Step2:
LCM(11, 462) = 462
GCD(11, 462) = ( 11 x 462 ) / 462
= 11 / 462
= 11
So, Greatest Common Divisor of 671, 561, 462 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 671, 561, 462
Given numbers are 671, 561, 462
The greatest common divisor of numbers 671, 561, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 671, 561, 462 is 11.
FAQs on GCD of 671, 561, 462 Calculator
1. What is the GCD of 671, 561, 462?
GCD of given numbers 671, 561, 462 is 11
2. How to calculate the greatest common divisor of 671, 561, 462?
We can find the highest common divisor of 671, 561, 462 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 671, 561, 462 i.e 11.
3. How can I use the GCD of 671, 561, 462Calculator?
Out the numbers 671, 561, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.