GCD of 502, 714, 820 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 502, 714, 820 quickly. Get the easiest ways to solve the greatest common divisor of 502, 714, 820 i.e 2 in different methods as follows.
Given Input numbers are 502, 714, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
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 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (502, 714, 820) = 2.
Given numbers are 502, 714, 820
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 502, 714, 820 is 2.
Steps to Calculate GCD of 502, 714, 820 using LCM Formula
Given numbers are 502, 714, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 714) = 179214
GCD(502, 714) = ( 502 x 714 ) / 179214
= 502 / 714
= 502
Step2:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 502, 714, 820 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 502, 714, 820
Given numbers are 502, 714, 820
The greatest common divisor of numbers 502, 714, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 714, 820 is 2.
FAQs on GCD of 502, 714, 820 Calculator
1. What is the GCD of 502, 714, 820?
GCD of given numbers 502, 714, 820 is 2
2. How to calculate the greatest common divisor of 502, 714, 820?
We can find the highest common divisor of 502, 714, 820 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 502, 714, 820 i.e 2.
3. How can I use the GCD of 502, 714, 820Calculator?
Out the numbers 502, 714, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.