GCD of 250, 125, 900 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 250, 125, 900 quickly. Get the easiest ways to solve the greatest common divisor of 250, 125, 900 i.e 25 in different methods as follows.
Given Input numbers are 250, 125, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
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 (250, 125, 900) = 25.
Given numbers are 250, 125, 900
The list of prime factors of all numbers are
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 125 are 5 x 5 x 5
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 52
Therefore, GCD of 250, 125, 900 is 25.
Steps to Calculate GCD of 250, 125, 900 using LCM Formula
Given numbers are 250, 125, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(250, 125) = 250
GCD(250, 125) = ( 250 x 125 ) / 250
= 250 / 125
= 250
Step2:
LCM(125, 900) = 4500
GCD(125, 900) = ( 125 x 900 ) / 4500
= 125 / 900
= 125
So, Greatest Common Divisor of 250, 125, 900 is 25
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 250, 125, 900
Given numbers are 250, 125, 900
The greatest common divisor of numbers 250, 125, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 125, 900 is 25.
FAQs on GCD of 250, 125, 900 Calculator
1. What is the GCD of 250, 125, 900?
GCD of given numbers 250, 125, 900 is 25
2. How to calculate the greatest common divisor of 250, 125, 900?
We can find the highest common divisor of 250, 125, 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 250, 125, 900 i.e 25.
3. How can I use the GCD of 250, 125, 900Calculator?
Out the numbers 250, 125, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.