GCD of 917, 924, 385 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 917, 924, 385 quickly. Get the easiest ways to solve the greatest common divisor of 917, 924, 385 i.e 7 in different methods as follows.
Given Input numbers are 917, 924, 385
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
GCD of numbers is the greatest common divisor
So, the GCD (917, 924, 385) = 7.
Given numbers are 917, 924, 385
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 385 are 5 x 7 x 11
The highest common occurrence is 71
Therefore, GCD of 917, 924, 385 is 7.
Steps to Calculate GCD of 917, 924, 385 using LCM Formula
Given numbers are 917, 924, 385
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 924) = 121044
GCD(917, 924) = ( 917 x 924 ) / 121044
= 917 / 924
= 917
Step2:
LCM(7, 385) = 385
GCD(7, 385) = ( 7 x 385 ) / 385
= 7 / 385
= 7
So, Greatest Common Divisor of 917, 924, 385 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 917, 924, 385
Given numbers are 917, 924, 385
The greatest common divisor of numbers 917, 924, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 924, 385 is 7.
FAQs on GCD of 917, 924, 385 Calculator
1. What is the GCD of 917, 924, 385?
GCD of given numbers 917, 924, 385 is 7
2. How to calculate the greatest common divisor of 917, 924, 385?
We can find the highest common divisor of 917, 924, 385 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 917, 924, 385 i.e 7.
3. How can I use the GCD of 917, 924, 385Calculator?
Out the numbers 917, 924, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.