GCD of 441, 686, 896 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 441, 686, 896 quickly. Get the easiest ways to solve the greatest common divisor of 441, 686, 896 i.e 7 in different methods as follows.
Given Input numbers are 441, 686, 896
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 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
GCD of numbers is the greatest common divisor
So, the GCD (441, 686, 896) = 7.
Given numbers are 441, 686, 896
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 71
Therefore, GCD of 441, 686, 896 is 7.
Steps to Calculate GCD of 441, 686, 896 using LCM Formula
Given numbers are 441, 686, 896
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 686) = 6174
GCD(441, 686) = ( 441 x 686 ) / 6174
= 441 / 686
= 441
Step2:
LCM(49, 896) = 6272
GCD(49, 896) = ( 49 x 896 ) / 6272
= 49 / 896
= 49
So, Greatest Common Divisor of 441, 686, 896 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 441, 686, 896
Given numbers are 441, 686, 896
The greatest common divisor of numbers 441, 686, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 686, 896 is 7.
FAQs on GCD of 441, 686, 896 Calculator
1. What is the GCD of 441, 686, 896?
GCD of given numbers 441, 686, 896 is 7
2. How to calculate the greatest common divisor of 441, 686, 896?
We can find the highest common divisor of 441, 686, 896 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, 686, 896 i.e 7.
3. How can I use the GCD of 441, 686, 896Calculator?
Out the numbers 441, 686, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.