GCD of 753, 714, 507 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 753, 714, 507 quickly. Get the easiest ways to solve the greatest common divisor of 753, 714, 507 i.e 3 in different methods as follows.
Given Input numbers are 753, 714, 507
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
GCD of numbers is the greatest common divisor
So, the GCD (753, 714, 507) = 3.
Given numbers are 753, 714, 507
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 507 are 3 x 13 x 13
The highest common occurrence is 31
Therefore, GCD of 753, 714, 507 is 3.
Steps to Calculate GCD of 753, 714, 507 using LCM Formula
Given numbers are 753, 714, 507
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 714) = 179214
GCD(753, 714) = ( 753 x 714 ) / 179214
= 753 / 714
= 753
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
So, Greatest Common Divisor of 753, 714, 507 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 753, 714, 507
Given numbers are 753, 714, 507
The greatest common divisor of numbers 753, 714, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 714, 507 is 3.
FAQs on GCD of 753, 714, 507 Calculator
1. What is the GCD of 753, 714, 507?
GCD of given numbers 753, 714, 507 is 3
2. How to calculate the greatest common divisor of 753, 714, 507?
We can find the highest common divisor of 753, 714, 507 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 753, 714, 507 i.e 3.
3. How can I use the GCD of 753, 714, 507Calculator?
Out the numbers 753, 714, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.