GCD of 925, 310, 105 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 925, 310, 105 quickly. Get the easiest ways to solve the greatest common divisor of 925, 310, 105 i.e 5 in different methods as follows.
Given Input numbers are 925, 310, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (925, 310, 105) = 5.
Given numbers are 925, 310, 105
The list of prime factors of all numbers are
Prime factors of 925 are 5 x 5 x 37
Prime factors of 310 are 2 x 5 x 31
Prime factors of 105 are 3 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 925, 310, 105 is 5.
Steps to Calculate GCD of 925, 310, 105 using LCM Formula
Given numbers are 925, 310, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(925, 310) = 57350
GCD(925, 310) = ( 925 x 310 ) / 57350
= 925 / 310
= 925
Step2:
LCM(5, 105) = 105
GCD(5, 105) = ( 5 x 105 ) / 105
= 5 / 105
= 5
So, Greatest Common Divisor of 925, 310, 105 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 925, 310, 105
Given numbers are 925, 310, 105
The greatest common divisor of numbers 925, 310, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 310, 105 is 5.
FAQs on GCD of 925, 310, 105 Calculator
1. What is the GCD of 925, 310, 105?
GCD of given numbers 925, 310, 105 is 5
2. How to calculate the greatest common divisor of 925, 310, 105?
We can find the highest common divisor of 925, 310, 105 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 925, 310, 105 i.e 5.
3. How can I use the GCD of 925, 310, 105Calculator?
Out the numbers 925, 310, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.