GCD of 826, 896, 917 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 826, 896, 917 quickly. Get the easiest ways to solve the greatest common divisor of 826, 896, 917 i.e 7 in different methods as follows.
Given Input numbers are 826, 896, 917
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 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
GCD of numbers is the greatest common divisor
So, the GCD (826, 896, 917) = 7.
Given numbers are 826, 896, 917
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 917 are 7 x 131
The highest common occurrence is 71
Therefore, GCD of 826, 896, 917 is 7.
Steps to Calculate GCD of 826, 896, 917 using LCM Formula
Given numbers are 826, 896, 917
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, 917) = 1834
GCD(14, 917) = ( 14 x 917 ) / 1834
= 14 / 917
= 14
So, Greatest Common Divisor of 826, 896, 917 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 826, 896, 917
Given numbers are 826, 896, 917
The greatest common divisor of numbers 826, 896, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 896, 917 is 7.
FAQs on GCD of 826, 896, 917 Calculator
1. What is the GCD of 826, 896, 917?
GCD of given numbers 826, 896, 917 is 7
2. How to calculate the greatest common divisor of 826, 896, 917?
We can find the highest common divisor of 826, 896, 917 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, 917 i.e 7.
3. How can I use the GCD of 826, 896, 917Calculator?
Out the numbers 826, 896, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.