GCD of 225, 870, 840 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 225, 870, 840 quickly. Get the easiest ways to solve the greatest common divisor of 225, 870, 840 i.e 15 in different methods as follows.
Given Input numbers are 225, 870, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
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 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (225, 870, 840) = 15.
Given numbers are 225, 870, 840
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31 x 51
Therefore, GCD of 225, 870, 840 is 15.
Steps to Calculate GCD of 225, 870, 840 using LCM Formula
Given numbers are 225, 870, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 870) = 13050
GCD(225, 870) = ( 225 x 870 ) / 13050
= 225 / 870
= 225
Step2:
LCM(15, 840) = 840
GCD(15, 840) = ( 15 x 840 ) / 840
= 15 / 840
= 15
So, Greatest Common Divisor of 225, 870, 840 is 15
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 225, 870, 840
Given numbers are 225, 870, 840
The greatest common divisor of numbers 225, 870, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 870, 840 is 15.
FAQs on GCD of 225, 870, 840 Calculator
1. What is the GCD of 225, 870, 840?
GCD of given numbers 225, 870, 840 is 15
2. How to calculate the greatest common divisor of 225, 870, 840?
We can find the highest common divisor of 225, 870, 840 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 225, 870, 840 i.e 15.
3. How can I use the GCD of 225, 870, 840Calculator?
Out the numbers 225, 870, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.