GCD of 900, 843, 930 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 900, 843, 930 quickly. Get the easiest ways to solve the greatest common divisor of 900, 843, 930 i.e 3 in different methods as follows.
Given Input numbers are 900, 843, 930
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
Divisors of 930 :
The positive integer divisors of 930 that completely divides 930 are.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
GCD of numbers is the greatest common divisor
So, the GCD (900, 843, 930) = 3.
Given numbers are 900, 843, 930
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 843 are 3 x 281
Prime factors of 930 are 2 x 3 x 5 x 31
The highest common occurrence is 31
Therefore, GCD of 900, 843, 930 is 3.
Steps to Calculate GCD of 900, 843, 930 using LCM Formula
Given numbers are 900, 843, 930
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 843) = 252900
GCD(900, 843) = ( 900 x 843 ) / 252900
= 900 / 843
= 900
Step2:
LCM(3, 930) = 930
GCD(3, 930) = ( 3 x 930 ) / 930
= 3 / 930
= 3
So, Greatest Common Divisor of 900, 843, 930 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 900, 843, 930
Given numbers are 900, 843, 930
The greatest common divisor of numbers 900, 843, 930 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 843, 930 is 3.
FAQs on GCD of 900, 843, 930 Calculator
1. What is the GCD of 900, 843, 930?
GCD of given numbers 900, 843, 930 is 3
2. How to calculate the greatest common divisor of 900, 843, 930?
We can find the highest common divisor of 900, 843, 930 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 900, 843, 930 i.e 3.
3. How can I use the GCD of 900, 843, 930Calculator?
Out the numbers 900, 843, 930 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.