GCD of 825, 730, 312 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 825, 730, 312 quickly. Get the easiest ways to solve the greatest common divisor of 825, 730, 312 i.e 1 in different methods as follows.
Given Input numbers are 825, 730, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (825, 730, 312) = 1.
Given numbers are 825, 730, 312
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 730 are 2 x 5 x 73
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 825, 730, 312 using LCM Formula
Given numbers are 825, 730, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 730) = 120450
GCD(825, 730) = ( 825 x 730 ) / 120450
= 825 / 730
= 825
Step2:
LCM(5, 312) = 1560
GCD(5, 312) = ( 5 x 312 ) / 1560
= 5 / 312
= 5
So, Greatest Common Divisor of 825, 730, 312 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 825, 730, 312
Given numbers are 825, 730, 312
The greatest common divisor of numbers 825, 730, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 730, 312 is 1.
FAQs on GCD of 825, 730, 312 Calculator
1. What is the GCD of 825, 730, 312?
GCD of given numbers 825, 730, 312 is 1
2. How to calculate the greatest common divisor of 825, 730, 312?
We can find the highest common divisor of 825, 730, 312 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 825, 730, 312 i.e 1.
3. How can I use the GCD of 825, 730, 312Calculator?
Out the numbers 825, 730, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.