GCD of 530, 210, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 530, 210, 900 quickly. Get the easiest ways to solve the greatest common divisor of 530, 210, 900 i.e 10 in different methods as follows.
Given Input numbers are 530, 210, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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
GCD of numbers is the greatest common divisor
So, the GCD (530, 210, 900) = 10.
Given numbers are 530, 210, 900
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 530, 210, 900 is 10.
Steps to Calculate GCD of 530, 210, 900 using LCM Formula
Given numbers are 530, 210, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 210) = 11130
GCD(530, 210) = ( 530 x 210 ) / 11130
= 530 / 210
= 530
Step2:
LCM(10, 900) = 900
GCD(10, 900) = ( 10 x 900 ) / 900
= 10 / 900
= 10
So, Greatest Common Divisor of 530, 210, 900 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 530, 210, 900
Given numbers are 530, 210, 900
The greatest common divisor of numbers 530, 210, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 210, 900 is 10.
FAQs on GCD of 530, 210, 900 Calculator
1. What is the GCD of 530, 210, 900?
GCD of given numbers 530, 210, 900 is 10
2. How to calculate the greatest common divisor of 530, 210, 900?
We can find the highest common divisor of 530, 210, 900 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 530, 210, 900 i.e 10.
3. How can I use the GCD of 530, 210, 900Calculator?
Out the numbers 530, 210, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.