GCD of 303, 420, 240 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 303, 420, 240 quickly. Get the easiest ways to solve the greatest common divisor of 303, 420, 240 i.e 3 in different methods as follows.
Given Input numbers are 303, 420, 240
In the factoring method, we have to find the divisors of all numbers
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (303, 420, 240) = 3.
Given numbers are 303, 420, 240
The list of prime factors of all numbers are
Prime factors of 303 are 3 x 101
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 303, 420, 240 is 3.
Steps to Calculate GCD of 303, 420, 240 using LCM Formula
Given numbers are 303, 420, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(303, 420) = 42420
GCD(303, 420) = ( 303 x 420 ) / 42420
= 303 / 420
= 303
Step2:
LCM(3, 240) = 240
GCD(3, 240) = ( 3 x 240 ) / 240
= 3 / 240
= 3
So, Greatest Common Divisor of 303, 420, 240 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 303, 420, 240
Given numbers are 303, 420, 240
The greatest common divisor of numbers 303, 420, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 420, 240 is 3.
FAQs on GCD of 303, 420, 240 Calculator
1. What is the GCD of 303, 420, 240?
GCD of given numbers 303, 420, 240 is 3
2. How to calculate the greatest common divisor of 303, 420, 240?
We can find the highest common divisor of 303, 420, 240 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 303, 420, 240 i.e 3.
3. How can I use the GCD of 303, 420, 240Calculator?
Out the numbers 303, 420, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.