GCD of 873, 360, 735 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 873, 360, 735 quickly. Get the easiest ways to solve the greatest common divisor of 873, 360, 735 i.e 3 in different methods as follows.
Given Input numbers are 873, 360, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (873, 360, 735) = 3.
Given numbers are 873, 360, 735
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 735 are 3 x 5 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 873, 360, 735 is 3.
Steps to Calculate GCD of 873, 360, 735 using LCM Formula
Given numbers are 873, 360, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 360) = 34920
GCD(873, 360) = ( 873 x 360 ) / 34920
= 873 / 360
= 873
Step2:
LCM(9, 735) = 2205
GCD(9, 735) = ( 9 x 735 ) / 2205
= 9 / 735
= 9
So, Greatest Common Divisor of 873, 360, 735 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 873, 360, 735
Given numbers are 873, 360, 735
The greatest common divisor of numbers 873, 360, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 360, 735 is 3.
FAQs on GCD of 873, 360, 735 Calculator
1. What is the GCD of 873, 360, 735?
GCD of given numbers 873, 360, 735 is 3
2. How to calculate the greatest common divisor of 873, 360, 735?
We can find the highest common divisor of 873, 360, 735 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 873, 360, 735 i.e 3.
3. How can I use the GCD of 873, 360, 735Calculator?
Out the numbers 873, 360, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.