GCD of 870, 900, 33 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 870, 900, 33 quickly. Get the easiest ways to solve the greatest common divisor of 870, 900, 33 i.e 3 in different methods as follows.
Given Input numbers are 870, 900, 33
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
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 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
GCD of numbers is the greatest common divisor
So, the GCD (870, 900, 33) = 3.
Given numbers are 870, 900, 33
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 33 are 3 x 11
The highest common occurrence is 31
Therefore, GCD of 870, 900, 33 is 3.
Steps to Calculate GCD of 870, 900, 33 using LCM Formula
Given numbers are 870, 900, 33
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 900) = 26100
GCD(870, 900) = ( 870 x 900 ) / 26100
= 870 / 900
= 870
Step2:
LCM(30, 33) = 330
GCD(30, 33) = ( 30 x 33 ) / 330
= 30 / 33
= 30
So, Greatest Common Divisor of 870, 900, 33 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 870, 900, 33
Given numbers are 870, 900, 33
The greatest common divisor of numbers 870, 900, 33 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 900, 33 is 3.
FAQs on GCD of 870, 900, 33 Calculator
1. What is the GCD of 870, 900, 33?
GCD of given numbers 870, 900, 33 is 3
2. How to calculate the greatest common divisor of 870, 900, 33?
We can find the highest common divisor of 870, 900, 33 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 870, 900, 33 i.e 3.
3. How can I use the GCD of 870, 900, 33Calculator?
Out the numbers 870, 900, 33 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.