GCD of 493, 442, 680 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 493, 442, 680 quickly. Get the easiest ways to solve the greatest common divisor of 493, 442, 680 i.e 17 in different methods as follows.
Given Input numbers are 493, 442, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (493, 442, 680) = 17.
Given numbers are 493, 442, 680
The list of prime factors of all numbers are
Prime factors of 493 are 17 x 29
Prime factors of 442 are 2 x 13 x 17
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 171
Therefore, GCD of 493, 442, 680 is 17.
Steps to Calculate GCD of 493, 442, 680 using LCM Formula
Given numbers are 493, 442, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(493, 442) = 12818
GCD(493, 442) = ( 493 x 442 ) / 12818
= 493 / 442
= 493
Step2:
LCM(17, 680) = 680
GCD(17, 680) = ( 17 x 680 ) / 680
= 17 / 680
= 17
So, Greatest Common Divisor of 493, 442, 680 is 17
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 493, 442, 680
Given numbers are 493, 442, 680
The greatest common divisor of numbers 493, 442, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 442, 680 is 17.
FAQs on GCD of 493, 442, 680 Calculator
1. What is the GCD of 493, 442, 680?
GCD of given numbers 493, 442, 680 is 17
2. How to calculate the greatest common divisor of 493, 442, 680?
We can find the highest common divisor of 493, 442, 680 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 493, 442, 680 i.e 17.
3. How can I use the GCD of 493, 442, 680Calculator?
Out the numbers 493, 442, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.