GCD of 380, 960, 286 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 380, 960, 286 quickly. Get the easiest ways to solve the greatest common divisor of 380, 960, 286 i.e 2 in different methods as follows.
Given Input numbers are 380, 960, 286
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 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
GCD of numbers is the greatest common divisor
So, the GCD (380, 960, 286) = 2.
Given numbers are 380, 960, 286
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 286 are 2 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 380, 960, 286 is 2.
Steps to Calculate GCD of 380, 960, 286 using LCM Formula
Given numbers are 380, 960, 286
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 960) = 18240
GCD(380, 960) = ( 380 x 960 ) / 18240
= 380 / 960
= 380
Step2:
LCM(20, 286) = 2860
GCD(20, 286) = ( 20 x 286 ) / 2860
= 20 / 286
= 20
So, Greatest Common Divisor of 380, 960, 286 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 380, 960, 286
Given numbers are 380, 960, 286
The greatest common divisor of numbers 380, 960, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 960, 286 is 2.
FAQs on GCD of 380, 960, 286 Calculator
1. What is the GCD of 380, 960, 286?
GCD of given numbers 380, 960, 286 is 2
2. How to calculate the greatest common divisor of 380, 960, 286?
We can find the highest common divisor of 380, 960, 286 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, 960, 286 i.e 2.
3. How can I use the GCD of 380, 960, 286Calculator?
Out the numbers 380, 960, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.