GCD of 100, 825, 220 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 100, 825, 220 quickly. Get the easiest ways to solve the greatest common divisor of 100, 825, 220 i.e 5 in different methods as follows.
Given Input numbers are 100, 825, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (100, 825, 220) = 5.
Given numbers are 100, 825, 220
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 100, 825, 220 is 5.
Steps to Calculate GCD of 100, 825, 220 using LCM Formula
Given numbers are 100, 825, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 825) = 3300
GCD(100, 825) = ( 100 x 825 ) / 3300
= 100 / 825
= 100
Step2:
LCM(25, 220) = 1100
GCD(25, 220) = ( 25 x 220 ) / 1100
= 25 / 220
= 25
So, Greatest Common Divisor of 100, 825, 220 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 100, 825, 220
Given numbers are 100, 825, 220
The greatest common divisor of numbers 100, 825, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 825, 220 is 5.
FAQs on GCD of 100, 825, 220 Calculator
1. What is the GCD of 100, 825, 220?
GCD of given numbers 100, 825, 220 is 5
2. How to calculate the greatest common divisor of 100, 825, 220?
We can find the highest common divisor of 100, 825, 220 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 100, 825, 220 i.e 5.
3. How can I use the GCD of 100, 825, 220Calculator?
Out the numbers 100, 825, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.