GCD of 702, 519, 564 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 702, 519, 564 quickly. Get the easiest ways to solve the greatest common divisor of 702, 519, 564 i.e 3 in different methods as follows.
Given Input numbers are 702, 519, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 519 :
The positive integer divisors of 519 that completely divides 519 are.
1, 3, 173, 519
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (702, 519, 564) = 3.
Given numbers are 702, 519, 564
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 519 are 3 x 173
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 702, 519, 564 is 3.
Steps to Calculate GCD of 702, 519, 564 using LCM Formula
Given numbers are 702, 519, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 519) = 121446
GCD(702, 519) = ( 702 x 519 ) / 121446
= 702 / 519
= 702
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 702, 519, 564 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 702, 519, 564
Given numbers are 702, 519, 564
The greatest common divisor of numbers 702, 519, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 519, 564 is 3.
FAQs on GCD of 702, 519, 564 Calculator
1. What is the GCD of 702, 519, 564?
GCD of given numbers 702, 519, 564 is 3
2. How to calculate the greatest common divisor of 702, 519, 564?
We can find the highest common divisor of 702, 519, 564 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 702, 519, 564 i.e 3.
3. How can I use the GCD of 702, 519, 564Calculator?
Out the numbers 702, 519, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.