GCD of 441, 462, 343, 814 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 441, 462, 343, 814 quickly. Get the easiest ways to solve the greatest common divisor of 441, 462, 343, 814 i.e 1 in different methods as follows.
Given Input numbers are 441, 462, 343, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
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
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (441, 462, 343, 814) = 1.
Given numbers are 441, 462, 343, 814
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 343 are 7 x 7 x 7
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 441, 462, 343, 814 using LCM Formula
Given numbers are 441, 462, 343, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 462) = 9702
GCD(441, 462) = ( 441 x 462 ) / 9702
= 441 / 462
= 441
Step2:
LCM(21, 343) = 1029
GCD(21, 343) = ( 21 x 343 ) / 1029
= 21 / 343
= 21
Step3:
LCM(7, 814) = 5698
GCD(7, 814) = ( 7 x 814 ) / 5698
= 7 / 814
= 7
So, Greatest Common Divisor of 441, 462, 343, 814 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 441, 462, 343, 814
Given numbers are 441, 462, 343, 814
The greatest common divisor of numbers 441, 462, 343, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 462, 343, 814 is 1.
FAQs on GCD of 441, 462, 343, 814 Calculator
1. What is the GCD of 441, 462, 343, 814?
GCD of given numbers 441, 462, 343, 814 is 1
2. How to calculate the greatest common divisor of 441, 462, 343, 814?
We can find the highest common divisor of 441, 462, 343, 814 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 441, 462, 343, 814 i.e 1.
3. How can I use the GCD of 441, 462, 343, 814Calculator?
Out the numbers 441, 462, 343, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.