GCD of 380, 896, 493 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 380, 896, 493 quickly. Get the easiest ways to solve the greatest common divisor of 380, 896, 493 i.e 1 in different methods as follows.
Given Input numbers are 380, 896, 493
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (380, 896, 493) = 1.
Given numbers are 380, 896, 493
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 380, 896, 493 using LCM Formula
Given numbers are 380, 896, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 896) = 85120
GCD(380, 896) = ( 380 x 896 ) / 85120
= 380 / 896
= 380
Step2:
LCM(4, 493) = 1972
GCD(4, 493) = ( 4 x 493 ) / 1972
= 4 / 493
= 4
So, Greatest Common Divisor of 380, 896, 493 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 380, 896, 493
Given numbers are 380, 896, 493
The greatest common divisor of numbers 380, 896, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 896, 493 is 1.
FAQs on GCD of 380, 896, 493 Calculator
1. What is the GCD of 380, 896, 493?
GCD of given numbers 380, 896, 493 is 1
2. How to calculate the greatest common divisor of 380, 896, 493?
We can find the highest common divisor of 380, 896, 493 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 380, 896, 493 i.e 1.
3. How can I use the GCD of 380, 896, 493Calculator?
Out the numbers 380, 896, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.