GCD of 249, 753, 708 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 249, 753, 708 quickly. Get the easiest ways to solve the greatest common divisor of 249, 753, 708 i.e 3 in different methods as follows.
Given Input numbers are 249, 753, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (249, 753, 708) = 3.
Given numbers are 249, 753, 708
The list of prime factors of all numbers are
Prime factors of 249 are 3 x 83
Prime factors of 753 are 3 x 251
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 249, 753, 708 is 3.
Steps to Calculate GCD of 249, 753, 708 using LCM Formula
Given numbers are 249, 753, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(249, 753) = 62499
GCD(249, 753) = ( 249 x 753 ) / 62499
= 249 / 753
= 249
Step2:
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
= 3 / 708
= 3
So, Greatest Common Divisor of 249, 753, 708 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 249, 753, 708
Given numbers are 249, 753, 708
The greatest common divisor of numbers 249, 753, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 753, 708 is 3.
FAQs on GCD of 249, 753, 708 Calculator
1. What is the GCD of 249, 753, 708?
GCD of given numbers 249, 753, 708 is 3
2. How to calculate the greatest common divisor of 249, 753, 708?
We can find the highest common divisor of 249, 753, 708 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 249, 753, 708 i.e 3.
3. How can I use the GCD of 249, 753, 708Calculator?
Out the numbers 249, 753, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.