GCD of 284, 120, 624 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 284, 120, 624 quickly. Get the easiest ways to solve the greatest common divisor of 284, 120, 624 i.e 4 in different methods as follows.
Given Input numbers are 284, 120, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (284, 120, 624) = 4.
Given numbers are 284, 120, 624
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 284, 120, 624 is 4.
Steps to Calculate GCD of 284, 120, 624 using LCM Formula
Given numbers are 284, 120, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 120) = 8520
GCD(284, 120) = ( 284 x 120 ) / 8520
= 284 / 120
= 284
Step2:
LCM(4, 624) = 624
GCD(4, 624) = ( 4 x 624 ) / 624
= 4 / 624
= 4
So, Greatest Common Divisor of 284, 120, 624 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 284, 120, 624
Given numbers are 284, 120, 624
The greatest common divisor of numbers 284, 120, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 120, 624 is 4.
FAQs on GCD of 284, 120, 624 Calculator
1. What is the GCD of 284, 120, 624?
GCD of given numbers 284, 120, 624 is 4
2. How to calculate the greatest common divisor of 284, 120, 624?
We can find the highest common divisor of 284, 120, 624 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 284, 120, 624 i.e 4.
3. How can I use the GCD of 284, 120, 624Calculator?
Out the numbers 284, 120, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.