GCD of 258, 753, 84 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 258, 753, 84 quickly. Get the easiest ways to solve the greatest common divisor of 258, 753, 84 i.e 3 in different methods as follows.
Given Input numbers are 258, 753, 84
In the factoring method, we have to find the divisors of all numbers
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD of numbers is the greatest common divisor
So, the GCD (258, 753, 84) = 3.
Given numbers are 258, 753, 84
The list of prime factors of all numbers are
Prime factors of 258 are 2 x 3 x 43
Prime factors of 753 are 3 x 251
Prime factors of 84 are 2 x 2 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 258, 753, 84 is 3.
Steps to Calculate GCD of 258, 753, 84 using LCM Formula
Given numbers are 258, 753, 84
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(258, 753) = 64758
GCD(258, 753) = ( 258 x 753 ) / 64758
= 258 / 753
= 258
Step2:
LCM(3, 84) = 84
GCD(3, 84) = ( 3 x 84 ) / 84
= 3 / 84
= 3
So, Greatest Common Divisor of 258, 753, 84 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 258, 753, 84
Given numbers are 258, 753, 84
The greatest common divisor of numbers 258, 753, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 753, 84 is 3.
FAQs on GCD of 258, 753, 84 Calculator
1. What is the GCD of 258, 753, 84?
GCD of given numbers 258, 753, 84 is 3
2. How to calculate the greatest common divisor of 258, 753, 84?
We can find the highest common divisor of 258, 753, 84 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 258, 753, 84 i.e 3.
3. How can I use the GCD of 258, 753, 84Calculator?
Out the numbers 258, 753, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.