GCD of 421, 253, 288 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 421, 253, 288 quickly. Get the easiest ways to solve the greatest common divisor of 421, 253, 288 i.e 1 in different methods as follows.
Given Input numbers are 421, 253, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (421, 253, 288) = 1.
Given numbers are 421, 253, 288
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 253 are 11 x 23
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 421, 253, 288 using LCM Formula
Given numbers are 421, 253, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 253) = 106513
GCD(421, 253) = ( 421 x 253 ) / 106513
= 421 / 253
= 421
Step2:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 421, 253, 288 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 421, 253, 288
Given numbers are 421, 253, 288
The greatest common divisor of numbers 421, 253, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 253, 288 is 1.
FAQs on GCD of 421, 253, 288 Calculator
1. What is the GCD of 421, 253, 288?
GCD of given numbers 421, 253, 288 is 1
2. How to calculate the greatest common divisor of 421, 253, 288?
We can find the highest common divisor of 421, 253, 288 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 421, 253, 288 i.e 1.
3. How can I use the GCD of 421, 253, 288Calculator?
Out the numbers 421, 253, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.