GCD of 826, 896, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 826, 896, 420 quickly. Get the easiest ways to solve the greatest common divisor of 826, 896, 420 i.e 14 in different methods as follows.
Given Input numbers are 826, 896, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
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
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (826, 896, 420) = 14.
Given numbers are 826, 896, 420
The list of prime factors of all numbers are
Prime factors of 826 are 2 x 7 x 59
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 826, 896, 420 is 14.
Steps to Calculate GCD of 826, 896, 420 using LCM Formula
Given numbers are 826, 896, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(826, 896) = 52864
GCD(826, 896) = ( 826 x 896 ) / 52864
= 826 / 896
= 826
Step2:
LCM(14, 420) = 420
GCD(14, 420) = ( 14 x 420 ) / 420
= 14 / 420
= 14
So, Greatest Common Divisor of 826, 896, 420 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 826, 896, 420
Given numbers are 826, 896, 420
The greatest common divisor of numbers 826, 896, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 896, 420 is 14.
FAQs on GCD of 826, 896, 420 Calculator
1. What is the GCD of 826, 896, 420?
GCD of given numbers 826, 896, 420 is 14
2. How to calculate the greatest common divisor of 826, 896, 420?
We can find the highest common divisor of 826, 896, 420 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 826, 896, 420 i.e 14.
3. How can I use the GCD of 826, 896, 420Calculator?
Out the numbers 826, 896, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.