GCD of 900, 441, 421 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 900, 441, 421 quickly. Get the easiest ways to solve the greatest common divisor of 900, 441, 421 i.e 1 in different methods as follows.
Given Input numbers are 900, 441, 421
In the factoring method, we have to find the divisors of all numbers
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 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
GCD of numbers is the greatest common divisor
So, the GCD (900, 441, 421) = 1.
Given numbers are 900, 441, 421
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 421 are 421
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 900, 441, 421 using LCM Formula
Given numbers are 900, 441, 421
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 441) = 44100
GCD(900, 441) = ( 900 x 441 ) / 44100
= 900 / 441
= 900
Step2:
LCM(9, 421) = 3789
GCD(9, 421) = ( 9 x 421 ) / 3789
= 9 / 421
= 9
So, Greatest Common Divisor of 900, 441, 421 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 900, 441, 421
Given numbers are 900, 441, 421
The greatest common divisor of numbers 900, 441, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 441, 421 is 1.
FAQs on GCD of 900, 441, 421 Calculator
1. What is the GCD of 900, 441, 421?
GCD of given numbers 900, 441, 421 is 1
2. How to calculate the greatest common divisor of 900, 441, 421?
We can find the highest common divisor of 900, 441, 421 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 900, 441, 421 i.e 1.
3. How can I use the GCD of 900, 441, 421Calculator?
Out the numbers 900, 441, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.